Suppose a small company is in the business of making golf bags to be sold at a local golf course where state championships are often held. they make 2 types of golf bags, a standard bag and a deluxe bag. the table below gives the information for limitations of materials and labor hours, and also for the profit for each type of bag. the materials and labor hours are the amount available per week, and the profit is the profit per week as well.
units are per bag standard leather (square feet) premium leather (square feet) cutting and sewing labor hours finishing labor hours profit
standard 7 1 3 1 25
deluxe 0 9 4 2 65
total available 210 180 120 40
a. what are the decision variables (use nun! )
b. what is the objective function? (make sure to use dimensional analysis to set it up)
c. what are the constraints? make sure to use dimensional analysis to set them up.
d. summarize the linear program in algebraic form. you do not need to include units here, but you should label your constraints.