Two models of a small appliance for household cleaning- Regular(X) and Deluxe (Y)- are produced by a consumer products company. The linear programming model below was used to determine the production schedule. The formulation is as follows:
Maximize profit = 50X+60 Y
Subject to: 8X+10Y= 800 (labor hours)
X+Y=120 ( total units demanded)
4X+5Y=500 (raw materials)
All variables = 0
1.What is the optimal solution?
2.How many units of the regular model would be produced based on this solution?