A manufacturer of lawn and garden equipment makes two types of lawn mowers: A push type and a selfpropelled model. The push type requires 9 minutes to assemble and 2 minutes to package; the self-propelled mower requires 12 minutes to assemble and 6 minutes to package. Each type has an engine. The company has 12 hours of assembly time available, 5 hours of packaging time and 75 engines. Profits are $ 70 for the self propelled model and $ 45 for the push type mower. 1. The company wishes to maximize its profit. Formulate an LP, make sure to clearly define the variables you are using.
2. What is the number of units to be manufactured for each type and the maximum profit that can be generated?

Ultravision inc. anticipates sales of $280,000 from january through april. materials will represent 50 percent of sales, and because of level production, material purchases will be equal for each month during the four months of january, february, march, and april. materials are paid for one month after the month purchased. materials purchased in december of last year were $24,000 (half of $48,000 in sales). labor costs for each of the four months are slightly different due to a provision in the labor contract in which bonuses are paid in february and april. the labor figures are: january $14,000 february 17,000 march 14,000 april 19,000 fixed overhead is $10,000 per month. prepare a schedule of cash payments for january through april. (assume the $280,000 of sales occur equally over the four months of january through april, i.e. monthly sales = $280,000 / 4.)