Question: Solve the pairs of equations to three-

> 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

> 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?

> 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 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

> Comfort Shoes’ normal rate of markup on selling price is 45%. What rate of markdown can the store offer on a pair of shoes normally priced at $140 and still realize a 20% rate of markup on cost at the sale price?

> A bedroom suite costs Town & Country Furniture $5000 less 30% and 15%. The normal rate of markup on cost is 90%. The suite is marked down 30% in a mid-summer sale. What is the sale price?

> A retailer pays $81 to a wholesaler for an article. The retail price is set using a 40% rate of markup on selling price. To increase traffic to his store, the retailer marks the article down 20% during a sale. What is the sale price?

> In February, Long Lake Nursery ordered lawn fertilizer at $18.60 less 33 1 3 % , 12 1 2 % , and 5% per 20-kg bag. The fertilizer is normally priced to provide a 55% rate of markup on selling price. Operating (overhead) expenses are 30% of cost. To clear

> Hi-Lites Inc. purchased a ceiling light fixture for $480 less 40% and 25%. The fixture was then marked up by 120% of cost. Overhead expenses are 55% of cost. In an anniversary sale, Hi-Lites offered the fixture at 40% off. Determine: 1. The net cost of t

> Morgan Photography’s markup on its antique picture frames is 35% of selling price. Its cost on the medium-size antique frame is $115.70. For portrait photos shot by Morgan’s, this frame’s price is reduced to $133.50. What is Morgan’s operating profit or

> Elite Sports sells Kevlar-graphite shaft hockey sticks for $147 each. Elite’s wholesale cost is $98. For a spring clearance sale, the prices are marked down by 20%. If overhead expenses are 15% of the regular selling price, what is the unit operating pro

> Furniture Warehouse bought upright freezers for $1800 less 33 1 3 % and 5%. The store’s overhead works out to 30% of cost. The freezers are initially priced so that a profit of 16 2 3 % cost will be realized when a freezer is sold at a “15% off” price. 1

> A retailer marked up an item from its $7.92 cost to the regular selling price of $19.80. During the store’s anniversary sale, the item was offered at 20% off. On a sale at this price, what was the (reduced) operating profit if unit overhead expenses were

> Express decimal and percent equivalent forms to five-figure accuracy. 7 8

> A machine can be leased for four years at $1000 per month payable at the beginning of each month. Alternatively, it can be purchased for $45,000 and sold for $5000 after four years. Should the machine be purchased or leased if the firm’s cost of borrowin

> Sonic Boom obtained a surround sound system for $2400 less 30% and 15%. The store’s pricing is based on overhead expenses of 40% of cost. The “regular price” of the surround sound system is set so that, if it is sold in a “20% off” sale, the store’s oper

> A jewellery store purchased a diamond ring for $2500 less 40% and 5%. The store’s average unit overhead expenses are 30% of cost. The “regular price” of the ring is established so that, if it is sold in a “20% off” sale, the unit operating profit at the

> A discount furniture store bought a memory foam mattress at the wholesale price of $665. The “regular price” of the mattress is set so that, in a “20% off” sale, the rate of markup on selling price is 30%. 1. What is the price of the mattress in a “20% o

> Mr. Vacuum obtains vacuum cleaners for $720 less 33 1 3 % and 15%. A demonstration unit regularly priced at $750 was sold for $450. The shop’s overhead is 22% of cost. 1. What was the markdown rate on the vacuum cleaner? 2. What was the profit or loss on

> Fashion Master purchased men’s sweaters for $72 less 40% and 15%. The normal rate of markup on selling price is 40%, and overhead is 25% of the regular selling price. The sweaters were reduced to $45.90 for the store’s Boxing Day Blowout. 1. What was the

> United Furniture buys reclining rocking chairs at $550 less 40% and 10%. The price is marked up to allow for overhead of 50% of cost and profit of 35% of cost. The unit on display in the store acquired a stain. What rate of markdown from the regular pric

> Rainbow Paints is discontinuing a line of paint that it purchased at $30 less 45% and 10% per 4-L pail. The store’s overhead is 50% of cost, and normal operating profit is 30% of cost. If the manager of the store is prepared to accept a loss of one-quart

> A lawn mower retails for $349. The dealer’s overhead is 25% of cost, and normal operating profit is 16 2 3 % of cost. 1. What is the largest amount of markdown that will allow the dealer to break even? 2. What rate of markdown will price the lawn mower a

> Water Sports Ltd. pays $360 less 25% for a backyard above-ground pool kit. Overhead expenses are 16 2 3 % of the regular selling price, and the operating profit is 15% of the selling price. 1. What is the maximum rate of markdown the store can offer and

> Just Dresses sets its regular prices based on overhead expenses at 50% of cost and an operating profit of 40% of cost. What will be the operating profit (as a percent of cost) for dresses sold at a 20% discount?

> The label on a single-serving can of soup states that it contains 35% of an adult’s daily sodium intake. If the maximum recommended sodium intake is 2300 mg, how many grams of sodium need to be consumed daily through other foods?

> An item that cost $37.25 was marked up by 60% of cost. Later, the retail price was reduced to $41.72. If unit overhead expenses were 20% of cost, what was the unit operating profit at the reduced price?

> Poles Apart obtains Nitro T1 snowboards at a cost of $345 and marks them up by 35% of the selling price. For its annual spring sale, Poles Apart marks down prices by 25%. What is the sale price of the Nitro T1 snowboards?