Questions from College Mathematics

Q: A 300-room hotel in Las Vegas is filled to capacity

A 300-room hotel in Las Vegas is filled to capacity every night at $80 a room. For each $1 increase in rent, 3 fewer rooms are rented. If each rented room costs $10 to service per day, how much should...

Q: A commercial pear grower must decide on the optimum time to have

A commercial pear grower must decide on the optimum time to have fruit picked and sold. If the pears are picked now, they will bring 30¢ per pound, with each tree yielding an average of 60 pounds of s...

Q: Find the conditional probability, in a single roll of two fair

Find the conditional probability, in a single roll of two fair dice, that. The sum is 10, given that the roll is doubles.

Q: A parcel delivery service will deliver a package only if the length

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square ends that satisfi...

Q: If a builder has only $840 to spend on a fence

If a builder has only $840 to spend on a fence, but wants to use both $6 and $18 per foot fencing as in Problem 33, what is the maximum area that can be enclosed? What are its dimensions?

Q: If the owner wants to enclose a rectangular area of 12,

If the owner wants to enclose a rectangular area of 12,100 square feet as in Problem 35, what are the dimensions of the area that requires the least fencing? How many feet of fencing are required?

Q: A pharmacy has a uniform annual demand for 200 bottles of a

A pharmacy has a uniform annual demand for 200 bottles of a certain antibiotic. It costs $10 to store one bottle for one year and $40 to place an order. How many times during the year should the pharm...

Q: A tool company has a uniform annual demand for 9,000

A tool company has a uniform annual demand for 9,000 premium chainsaws. It costs $5 to store a chainsaw for a year and $2,500 to set up the plant for manufacture of the premium model. How many chainsa...

Q: The cost per hour for fuel to drive a rental truck from

The cost per hour for fuel to drive a rental truck from Chicago to New York, a distance of 800 miles, is given by where v is the speed of the truck in miles per hour. Other costs are $40 per hour. H...

Q: The concentration C(t), in milligrams per cubic centimeter,

The concentration C(t), in milligrams per cubic centimeter, of a particular drug in a patient’s blood stream is given by where t is the number of hours after the drug is taken. How...