Write the constraints as linear inequities and identify all variables used. In some instances, not all of the information is needed to write the constraints.
1. A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication department has at most 110 hours of labor available each week.
2. A candidate can afford to spend no more than $9,500 on radio and TV advertising. Each radio spot cost $250 and each TV ad cost $750.
3. A hospital dietician has two meal choices: one for patients on solid food that costs $2.75 and one for patients on liquids that costs $3.75. There is a maximum of 600 patients in the hospital.
Solve these linear programing problems, which are somewhat simpler than the examples in the text.
4. Business A chain saw requires 4 hours of assembly and a wood chipper 6 hours. A maximum of 48 hours of assembly time is available. The profit is $150 on a chain saw and $220 on a chipper. How many of each should be assembled for maximum profit?
5. Business Deluxe coffee is to be mixed with regular coffee to make at least 50 pound of a blended coffee. The mixture must contain at least 10 pounds of deluxe coffee. Deluxe coffee costs $6 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used to minimize costs?