producex Television Company has to decide on the number of 27 and 20 inch sets ic le produced at one of its factories. Market research indicaies that at most 40 of the 27 inch sed and 10 of the 20 inch sets can be sold per month. The maximum number of work - hours available is 500 per month. A 27 -inch set requires 20 work-hours and a 20 -inch set requires 10 -hours. Each 27 -inch set sold produces a profit of
$120
and each 20 -inch set produces profit of
$80
. A wholesaler has agreed to purchase all the television sets produced if the numbers do not exceed the maxima indicated by the market research. (a) Formulate a lineas programming model for this problem. (b) Use the graphical method to solve this model.