10. A Company manufactures two products, rockers and boökshne Its. Its profit is $30 per rocker and $42 per bookshelf unit. Next week's production will be constrained by two limited resources: labor and wood. The labor available next week is expected to be at MOST 930 hours, and the amount of wood available is expected to be at most 2400 board feet. Each rocker requires 4 labor hours and 8 board feet of wood.Each bookshelf requires 3 labor hours and 12 board feet of wood. The above information is summarized in the table below. Using the graphical linear programming technique, and the table provided below, find the number of rockers and bookshelves that the company can produce next week, to MAXIMIZE its Profit; and find its Profit at Maximum. Table for Question #10 Product/LImits Rockers Bookshelves Available Labor Hours 4hrs/unit 3hrs/unit 930hrs Wood Needed 8bft/unit 12bft/unit 2400 b/ft Profit per unit $30 $42

A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Department Fabricating Finishing Labor-Hours per Ski The maximum profit is S Trick Ski 9 1 Slalom Ski 6 1 Maximum Labor-Hours Available per Day 297 36 If the profit on a trick ski is $30 and the profit on a slalom ski is $60, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum occurs when trick skis and slalom skis are produced.

A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ THER and $ (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $208.80. $ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $3.00 (with the contribution to the profit of a Type A souvenir held at $1.00)? $

Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner and manager of the company, needs to decide how many of each type of hot tub to produce during his next production cycle. Howie buys prefabricated fiberglass hot tub shells from a local supplier and adds the pump and tubing to the shells to create his hot tubs. (This supplier has the capacity to deliver as many hot tub shells as Howie needs.) Howie installs the same type of pump into both hot tubs. He will have only 200 pumps available during his next production cycle. From a manufacturing standpoint, the main difference between the two models of hot tubs is the amount of tubing and labor required. Each Aqua-Spa requires 9 hours of labor and 12 feet of tubing. Each Hydro-Lux requires 6 hours of labor and 16 feet of tubing. Howie expects to have 1,566 production labor hours and 2,880 feet of tubing available during the next production cycle. Howie earns a profit of…