Sports on Wheels produces skateboards and roller blades. Producing a skateboard requires 4 hours on machine A and 2 hours on machine B. Producing a pair of roller blades requires 6 hours on machine A, 6 hours on machine B, and 1 hour on machine C. Machine A is available 120 hours per week, macine B is available 72 hours per week, and machine C is available 10 hours per week. If the company profits $33 on each skateboard and $22 on each pair of roller blades, how many of each should be produced to maximize the company's profit?
EMERGENCY HOMEWORK HELP!!!! what are the contraints and a system of inequalities for the following porblem???
I'm assuming that you're just formulating (and not solving) the linear program, so here's the formulation expressed as an objective function subject to a set of constraints:
Let 's' represent the number of skateboards, and
'r' represent the number of roller blades :
(Objective Function) Maximize: 33s + 22r
Subject To (Constraints):
4s + 6r ≤ 120
2s + 6r ≤ 72
r ≤ 10
s ≥ 0
r ≥ 0
tanning
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