Linear Programming Worksheet

Linear Programming Worksheet Name ______

1. A contractor wants to install as many bathtubs as possible in an apartment complex during the first week of September. During the week, the carpenter can work 28 hours and the plumber 32 hours. Installing tub A takes the carpenter 1 hour and the plumber 4 hours. Tub B takes the carpenter 3 hours and the plumber 2 hours. To install as many tubs as possible, how many of each type should be installed?

2. A seafood restaurant owner orders at least 50 fish. He cannot use more than 30 amberjack or more than 35 flounder. Amberjack costs $4 each and flounder costs $3 each. How many of each fish should he use the minimize his cost? 3. Juan makes two types of wood clocks to sell at local stores. It takes him 2 hours to assemble a pine clock, which requires 1 oz of varnish. It takes 2 hours to assemble an oak clock, which takes 4 oz. of varnish. Juan has 16 oz. of varnish in stock, and can work 20 hours. If he makes $3 profit on each pine clock and $4 on each oak clock, how many of each type should he make to maximize his profits?

4. The electronics store that you work for sells two types of video game consoles: the Z- Box 720 and the Play Station 4. You have to sell a total of at least 100 consoles each month. The cost of the Z-Box is $300 and the cost of the Play Station is $500. The store has $45000 to spend on the console order this month. The wholesaler that you purchase from has a limited number of Z-Box consoles available and the maximum number they can sell you this month is 90. The store makes a profit of $40 on each Z-Box and $60 on each Play Station that it sells. The manager has asked you to figure out how many of each system the store should order to maximize this month’s profit.