Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two distributors, A and B. Distributor A has a maximum capacity of 105 sofas, and distributor B has a maximum capacity of 175 sofas. It costs $14 to ship a sofa to A and $11 to ship to B. How many sofas should be produced and shipped to each distributor to minimize shipping costs?
Set up the objective function and the constraints, but do not solve.
Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two distributors, A and B. Distributor A has a maximum capacity of 105 sofas, and distributor B has a maximum capacity of 175 sofas. It costs $14 to ship a sofa to A and $11 to ship to B. How many sofas should be produced and shipped to each distributor to minimize shipping costs? (Let x represent the number of sofas shipped to Distributor A, y the number of sofas shipped to Distributor B, and z the shipping costs in dollars.)
A) Maxamize or minimize? Z=______________
B) Subject to,
Required sofas___________
distributor A limitation______________
distributor B limitation________________
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