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 3,700 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. Unit Profit 65" Sets 55" Sets $270 Work Hours $180 Work Hours Per Unit Produced 201 10 Hours Available 3,700 Click here for the Excel Data File Formulate and solve a linear programming model for this problem on a spreadsheet. a. Determine the number of 65" and 55" sets produced if the numbers do not exceed the maxima indicated by the market research. Units produced 65" Sets 55 Sets b. Determine the total profit. Total profit