building a closed wooden shed in the shape of a rectangular box with a square base. The shed is to have a volume of 1500 ft.³. If the wood for the base and the roof of the shed cost $15 per square foot and the wood for the sides of the shed (walls) cost $10 per square foot, find the dimensions for the most economical (cheapest) shed you could build.  a. Define your variable(s) and state the objective function. b. What is the interval of interest (domain) for your objective function? C. What is the length of one side of the shed base? What is the height of the shed?

Q: A cost function and a revenue function for a certain manufactured good are given as C(q) = 6q + 320…

A: Break even point

Q: A company that manufactures flash drives knows that the number of drives r it can sell each week is…

A:

Q: Suppose I want to build a rectangular enclosure using 100m of fence. The length needs to be…

A: 100m = total fencing of the rectangular enclosure x         = length of rectangle in metersy…

Q: The cost of hiring a handyman to help with home jobs costs $50 plus $35 per hour for each hour the…

A: The cost function C(t) =50+35twhere t is number of hours worked by the handman

Q: Suppose that you are the power company and must provide power to a lighthouse on a rock one mile off…

A: Given- The nearest pole to run the line from is 2 miles up the shore from the line straight out to…

Q: At a home store, one sheet of -in. sanded pine plywood costs $24. One sheet of -in, sanded pine…

A: Let number of sheets of 3/8-in. sanded pine plywood be x and the number of 1/4-in.sanded pine…

Q: You are building an open-top aquarium with a square base with side length x ft. Material for the…

A:

Q: A private warehouse has an annual throughput of 20,000 items and an average material handling cost…

A: Given: 1) To explain the correct option of the given statement as follows:

Q: If the demand for a pair of shoes is given by 2p+5q=100 and the supply function for it is p-2q=10 ,…

A:

Q: (2) The length of a rectangular floor is two metres more than twice its width. If a diagonal of the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A diner makes a profit of $0.80 for a cup of coffee and $1.10 for a cup of tea. Write an objective…

A: Let x be the number of cups of coffee sold and y be the number of cups of tea sold. Given that the…

Q: The demand equation for video games is given by x = 400-20p Where x is the number of video games and…

A:

Q: Your company has decided to manufacture calculators. The fixed monthly cost will be $33,000 and it…

A: Fixed cost = $33,000 cost per calculator = $40 Cost function C(x) = a + bx where  a = Fixed Cost…

Q: Wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle.…

A: