which requires labor hours along with time on two machines. Producing a unit of trash cans requires 50 hours of labor, 5 hours on Machine A, and 10 hours on Machine B, while producing a unit of buckets requires 20 hours of labor, 8 hours on Machine A, and 2 hours on Machine B. The Company has available 2000 labor hours, 560 hours for Machine A, and 350 hours for Machine B. Each unit of trash cans brings in $20 in profit for the company and each unit of buckets brings in $3 in profit. Be sure to write out the system of inequalities expressing these conditions and graph the feasible region. Find the profit maximizing combinations of trash cans and buckets this company can and should produce.
Midtown Manufacturing Company makes trash cans and plastic buckets, both of which requires labor hours along with time on two machines. Producing a unit of trash cans requires 50 hours of labor, 5 hours on Machine A, and 10 hours on Machine B, while producing a unit of buckets requires 20 hours of labor, 8 hours on Machine A, and 2 hours on Machine B. The Company has available 2000 labor hours, 560 hours for Machine A, and 350 hours for Machine B. Each unit of trash cans brings in $20 in profit for the company and each unit of buckets brings in $3 in profit.
Be sure to write out the system of inequalities expressing these conditions and graph the feasible region.
Find the profit maximizing combinations of trash cans and buckets this company can and should produce.
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