The Apex Television Company has to decide on the number of 65′′ and 55′′ sets to be produced at one of its factories. Market research indicates that at most 280 of the 65′′ sets and 70 of the 55′′ sets can be sold per month. The maximum number of work-hours available is 3,300 per month. A 65′′ set requires 20 work-hours and a 55′′ set requires 10 work-hours. Each 65′′ set sold produces a profit of $270 and each 55′′ set produces a profit of $180. A wholesaler has agreed to purchase all the television sets produced if the numbers do not exceed the maxima indicated by the market research.
65" Sets 55" Sets
Unit Profit $270 $180
Work Hours Per Unit Produced Hours
Available
Work Hours 20 10 3,300
Formulate and solve a linear programming model for this problem on a spreadsheet.
Determine the number of 65” and 55” sets produced if the numbers do not exceed the maxima indicated by the market research.
Determine the total profit.
