A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?
> A real estate salesperson can lease an automobile for five years at $500 per month payable at the beginning of each month, or purchase it for $32,000. She can obtain a loan at 3.75% compounded monthly to purchase the car. Should she lease or buy the car
> CD Solutions Ltd. manufactures and replicates CDs for software and music recording companies. CD Solutions sells each disc for $2.50. The variable costs per disc are $1.00. 1. To just break even, how many CDs must be sold per month if the fixed costs are
> ChildCare Industries manufactures infant car seats that it sells to retailers for $155 each. The costs to manufacture each additional seat are $65, and the monthly fixed costs are $18,000. 1. How many seats must be sold per year to break even? 2. What wi
> Ingrid processes and bottles jam in her home-based business. Her fixed costs are $250 per month and the variable cost per jar is $1.20. She sells the jam to local grocery stores for $3.20 each. 1. How many jars must she sell per year to break even? 2. Wh
> A sporting goods manufacturer lost $400,000 on sales of $3 million in a year during the last recession. The production lines operated at only 60% of capacity during the year. Variable costs represent one-third of the sales dollars. 1. At what percent of
> A farmer is trying to decide whether to rent his neighbour’s land to grow additional hay for sale to feedlots at $180 per delivered tonne. The land can be rented at $400 per hectare for the season. Cultivation and planting will cost $600 per hectare; spr
> Mickey’s Restaurant had a net income last year of $40,000 after fixed costs of $130,000 and total variable costs of $80,000. 1. What was the restaurant’s break-even point in sales dollars? 2. If fixed costs in the current year rise to $140,000 and variab
> In the year just ended, a small appliance manufacturer sold its griddle at the wholesale price of $37.50. The unit variable costs were $13.25, and the monthly fixed costs were $5600. 1. If unit variable costs are expected to rise to $15.00 and fixed cost
> This problem is designed to illustrate how the relative proportions of fixed and variable costs affect a firm’s net income when the sales volume changes. Two hypothetical firms, Hi-Tech and Lo-Tech, manufacture and sell the same product at the same price
> The social committee of a college’s student government is planning the annual graduation dinner and dance. The preferred band can be signed for $1000 plus 10% of ticket revenues. A hall can be rented for $4400. Fire regulations limit the hall to 400 gues
> Genifax reported the following information for September: Sales revenue $180,000 Fixed manufacturing costs 22,000 Fixed marketing and overhead costs 14,000 Total variable costs 120,000 Unit price 9 1. Determine the unit sales required to break even. 2. W
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. -4 900
> Reliable Plastics makes containers that it sells for $2.55 each. Its fixed costs for this product are $2000 per month and the variable cost per unit is $1.30. 1. What is the break-even point in units? 2. What is the break-even sales revenue?
> A college ski club is planning a weekend package for its members. The members will each be charged $270. For a group of 15 or more, the club can purchase a two-day downhill pass and two nights’ accommodation for $220 per person. A 36-passenger capacity b
> The Morgan Company produces two products, G and H, with the following characteristics: Total fixed costs for the year are expected to be $700,000. 1. What will be the net income if the forecast sales are realized? 2. Determine the break-even volumes of t
> In the past year, the Greenwood Corporation had sales of $1,200,000, fixed costs of $400,000, and total variable costs of $600,000. 1. At what sales figure would Greenwood have broken even last year? 2. If sales increase by 15% in the year ahead (but all
> The Kelowna division of Windstream RVs builds the Wanderer model. The division had total revenue of $4,785,000 and a profit of $520,000 on the sale of 165 units in the first half of its financial year. Sales declined to 117 units in the second half of th
> The Woodstock plant of Goodstone Tires manufactures a single line of automobile tires. In its first fiscal quarter, the plant had total revenue of $4,500,000 and net income of $900,000 from the production and sale of 60,000 tires. In the subsequent quart
> Bentley Plastics Ltd. has annual fixed costs of $450,000 and variable costs of $15 per unit. The selling price per unit is $25. 1. What annual unit sales are required to break even? 2. What annual revenue is required to break even? 3. What will be the an
> Reflex Manufacturing Corp. manufactures composters at a unit variable cost of $43. It sells them for $70 each. It can produce a maximum of 3200 composters per month. Annual fixed costs total $648,000. 1. What is the break-even volume per month? 2. What i
> Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000. 1. How many bags of peat must be sold in a year to break even? 2. What will be the net income for a year in which 60,000 bags of peat
> Beta Inc. has based its budget forecast for next year on the assumption it will operate at 90% of capacity. The budget is: Sales revenue $18,000,000 Fixed costs $10,000,000 Total variable costs $6,000,000 Total costs $16,000,000 Net income $2,000,000 1
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. 10 9
> Alpha Corp. expects to operate at 80% of capacity next year. Its forecast operating budget is Sales revenue $1,200,000 Fixed costs $300,000 Total variable costs $800,000 Total costs $1,100,000 Net income $100,000 1. What is Alpha’s break-even revenue?
> Toys-4-U manufactures a toy that it sells for $30 each. The variable cost per toy is $10 and the fixed costs for this product line are $100,000 per year. They estimate they can produce 8000 toys per production period. 1. What is the break-even point in u
> Leaving other variables unchanged, what effect does increasing the value of S have on: 1. the fixed cost (FC) line? 2. the total cost (TC) line? 3. the total revenue (TR) line? 4. the break-even point?
> Leaving other variables unchanged, what effect does increasing the value of VC have on: 1. the fixed cost (FC) line? 2. the total cost (TC) line? 3. the total revenue (TR) line? 4. the break-even point?
> Reflex Manufacturing Corp. manufactures composters at a unit variable cost of $43. It sells them for $70 each. It can produce a maximum of 3200 composters per month. Annual fixed costs total $648,000. 1. What is the break-even volume per month? 2. What i
> Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000. 1. How many bags of peat must be sold per year to break even? 2. What will be the net income for a year in which 60,000 bags of peat a
> A small manufacturing operation can produce up to 250 units per week of a product that it sells for $20 per unit. The variable cost per unit is $12, and the fixed costs per week are $1200. 1. How many units must the firm sell per week to break even? 2. D
> Jordan is developing a business plan for a residential building inspection service he wants to start up. Rent and utilities for an office would cost $1000 per month. The fixed costs for a vehicle would be $450 per month. He estimates that the variable of
> Huntsville Office Supplies (HOS) is evaluating the profitability of leasing a photocopier for its customers to use on a self-serve basis at 10¢ per copy. The copier may be leased for $300 per month plus 1.5¢ per copy on a full-service contract. HOS can p
> Clone Computers assembles and packages personal computer systems from brand-name components. Its Home Office PC System is assembled from components costing $1400 per system and sells for $2000. Labour costs for assembly are $100 per system. This product
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. 1 1 11
> Leaving other variables unchanged, what effect does increasing the value of FC have on: 1. the fixed cost (FC) line? 2. the total cost (TC) line? 3. the total revenue (TR) line? 4. the break-even point?
> CD Solutions Ltd. manufactures and replicates CDs for software and music recording companies. CD Solutions sells each disc for $2.50. The variable costs per disc are $1.00. 1. To just break even, how many CDs must be sold per month if the fixed costs are
> Dynacan Ltd. manufactured 10,000 units of product last year and identified the following manufacturing and overhead costs. (V denotes “variable cost” and F denotes “fixed cost.”) Materials used in manufacturing (V) $50,400,000 Wages paid to production wo
> Triax Corp. produced 50,000 gizmos at a total cost of $1,600,000 (including $400,000 of fixed costs) in the fiscal year just completed. If fixed costs and unit variable costs do not change next year, how much will it cost to produce 60,000 gizmos?
> A company’s sales revenue decreased by 15% from one operating period to the next. Assuming no change in the prices of its inputs and outputs, by what percentage did: 1. Fixed costs change? 2. Unit variable costs change? 3. Total variable costs change?
> Below is a list of costs. Classify each of them as variable, fixed, or mixed (a combination of variable and fixed components). 1. Cost of raw materials used in producing a firm’s products 2. Property taxes 3. Wages of sales staff paid on a salary plus co
> Solve the pairs of equations to three-figure accuracy. Verify your solution. d = 3 c - 500 0.7 c + 0.2 d = 550
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. g - h = 17 4 3 g + 3 2 h = 0
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. y = 2 x 7 x − y = 35
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 7 p − 3 q = 23 −2 p − 3 q = 5
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. 7 7 9
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 4 a − 3 b = −3 5 a − b = 10
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. y − 3 x = 11 5 x + 30 = 4 y
> A manufacturing firm pays monthly salaries of $5100 to each production worker and $4200 to each assembly worker. As the economy drops into a recession, the firm decides to reduce its total monthly manufacturing payroll from $380,700 to $297,000 by laying
> A partnership in a public accounting practice has seven partners and 12 accounting technicians. Each partner draws the same salary, and each technician is paid the same salary. The partners calculate that if they give the technicians a raise of 8% and if
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. x − y = 2 3 x + 4 y = 20
> As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3884 tickets were sold for a total of $6925. How many people bought tickets at the three-for-$5 discount?
> In the first week of July, a beer and wine store sold 871 cases of beer and paid refunds on 637 cases of empty bottles, for a net revenue of $12,632.10. For the following week the net revenue was $13,331.70 from the sale of 932 cases and the return of 80
> Tiny-Tot School purchases the same amount of milk and orange juice each week. After price increases from $1.50 to $1.60 per litre of milk and from $1.30 to $1.37 per can of frozen orange juice, the weekly bill rose from $57.00 to $60.55. How many litres
> Marichka bought five litres of milk and four dozen eggs for $19.51. Lonnie purchased nine litres of milk and three dozen eggs for $22.98. What were the prices for a litre of milk and a dozen eggs?
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. -8 3
> Product X requires 30 minutes of machining on a lathe, and Product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were
> Mr. LeClair and Ms. Bartoli own adjacent hobby farms. They have just received their property tax notices providing the following assessment and tax information: The regional government applies one property tax rate to residences and a lower tax rate to l
> Colby inherited a small savings-bond portfolio consisting of four $1000 face-value Canada Savings Bonds and six $1000 face-value Ontario Savings Bonds. In the first year, the portfolio earned $438 interest. At the end of the first year, Colby cashed in o
> Buckerfields Garden Supply makes custom fertilizer by mixing appropriate combinations of bulk 6% nitrogen fertilizer with bulk 22% nitrogen fertilizer. How many kilograms of each type should be mixed to make 300 kg of 16% nitrogen fertilizer? (Hint: The
> Budget Truck Rentals offers short-term truck rentals consisting of an hourly rate plus a per-kilometre charge. Vratislav paid $54.45 for a two-hour rental during which he drove 47 km. Bryn paid $127.55 for five hours and 93 km driven. What rate did Budge
> Mr. and Mrs. Chudnowski paid $1050 to fly with their three children from Winnipeg to Regina. Mrs. Ramsey paid $610 for herself and two children on the same flight. What were the airfares per adult and per child?
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 4 x + y = 5 2 x − 3 y = 13
> Tina drove from Calgary to Vancouver, a distance of 1000 km, in 12.3 hours. She drove at 100 km/h on the “open road,” but slowed to 50 km/h on urban and curving roads. What distance did she drive at each speed? (Hint: Travelling time at a particular spee
> The Hungry Heifer diner offers an all-you-can-eat buffet at $25.90 per adult and $17.90 per child. On a particular day, the diner had total buffet revenue of $6609.40 from 266 customers. How many of the customers were children?
> The annual dues for Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?
> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. 5 6
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 318 j – 451 k = 7.22 – 249 j + 193 k = - 18.79
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 0.33 e + 1.67 f = 292 1.2 e + 0.61 f = 377
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 68.9 n – 38.5 m = 57 45.1 n – 79.4 m = - 658
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 37 x – 63 y = 235 18 x + 26 y = 468
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 2.5 a + 2 b = 11 8 a + 3.5 b = 13
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 2 v + 6 w = 1 – 9 w + 10 v = 18
> Solve the pairs of equations to three-figure accuracy. Verify your solution. 0.03 x + 0.05 y = 51 0.8 x – 0.7 y = 140
> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 3 x − 2 y = 6 y = x − 1
> Determine the slope and b-intercept of each of the following equations. 1. 2b + 3 = 5a 2. 3a − 4b = 12 3. 0 = 2400 − 4a − 5b 4. 7a = −8b
> Determine the slope and y-intercept of each of the following equations. 1. 2x = 3y + 4 2. 8 − 3x = 2y 3. 8x − 2y − 3 = 0 4. 6x = 9y
> Express decimal and percent equivalent forms to five-figure accuracy. 22.5, -12
> Draw graph each of the equations. y = 4.5x + 5000 over the range x = 0 to x = 6000
> Draw graph each of the equations. y = 60x + 6000 over the range x = 0 to x = 50
> Draw graph each of the equations. 3x − 4y + 12 = 0 over the range x = −8 to x = 12
> Draw graph each of the equations. y = 4 over the range x = −3 to x = 6
> Draw graph each of the equations. 2x + y = 4 over the range x = −3 to x = 6
> Use the graphical method to solve the pairs of equations. 7 p − 3 q = 23 −2 p − 3 q = 5
> Use the graphical method to solve the pairs of equations. 4 a − 3 b = −3 5 a - b = 10
> Use the graphical method to solve the pairs of equations. y − 3 x = 11 5 x + 30 = 4 y
> Use the graphical method to solve the pairs of equations. x + y = 4 2 x - y = 8
> Draw graph each of the equations. −2x + y = 4 over the range x = −3 to x = 6
> Express decimal and percent equivalent forms to five-figure accuracy. 37.5 50
> Use the graphical method to solve the pairs of equations. x − 3 y = 0 x + 2 y = −5
> Use the graphical method to solve the pairs of equations. 6 x = 3 y 4 x - y = 1
> Use the graphical method to solve the pairs of equations. x − 3 y = 3 y = −2
> Use the graphical method to solve the pairs of equations. x + y = 2 x = 5
> Randolph runs a home appliance repair business and charges a service call fee of $85 plus $15 per half hour for his labour. Write an equation for calculating the total charges, C, in terms of hours of labour, H. What would be the slope and C-intercept?
> The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F = 9 5 C + 32 . 1. If you were to plot a graph of F vs. C, what would be the slope and F-intercept of the line? 2. The slope represents the change in F per unit c
> In his sales job, Ehud earns a base salary of $1500 per month plus a commission of 5% on sales revenue. Write an equation for calculating his gross earnings, E, for a month in terms of his sales revenue, R. If you were to plot a graph of E vs. R, what wo
> A plumber charges a flat $50 for a home service call plus $10 per 15 minutes of labour. Write an equation for calculating the total charges, C, in terms of the hours of labour, H. If you were to plot a graph of C vs. H, what would be the slope and C-inte
> Determine the x-intercept and y-intercept of each of the following equations. 1. 5x + 25y – 15 = 0 2. 0 = 63 – 7x + 21y 3. 13x = 35y 4. 11x + 110 = 22y
> Determine the r-intercept and s-intercept of each of the following equations. 1. 10r – 4s = 20 2. 3r + 4s –12 = 0 3. 15 – 3r = 20s 4. 7r = 9s
> Express decimal and percent equivalent forms to five-figure accuracy. -1 11 32
> Draw graph each of the equations. −2x + y = 0 over the range x = −3 to x = 6
