Sunday, March 14, 2010

EMERGENCY HOMEWORK HELP!!!! what are the contraints and a system of inequalities for the following porblem???

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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