(33 points) Formulate the following mathematical program (do not Enterprises (GK

Question

(33 points) Formulate the following mathematical program (do not Enterprises (GKE) can produce 3 different color keno balls (blue, yellow and red). The machinery to make each type of ball must be rented ($200/week-blue: $150/week-yellow; and $100/week-red). To produce these balls labor and plastic are required as shown below 2) solve). Grabiec Keno Labor Plastic Blue 3 Yellow 2 Red 6 Each week 150 hours of labor are available and 160 cubic meters are available. The unit cost and selling price is shown below Sales Price Blue $12 Yellow $8 Red $15 Variable Cost $6 $4 $8 Formulate this problem to maximize GKE's weekly profits

Explanation / Answer

Amount ($) Blue Yellow Red 1 Selling Price Per Unit         12           8            15 Less: Variable Cost           6           4              8 2 Contribution per Unit           6           4              7 No' of Labour Hrs Required per Unit           3           2              6 a Number Units Can be Produced         50         75            25 Required Plastic Cubic Meters per Unit           4           3              4 b Number Units Can be Produced         40         53            40 C Possible Units ( a or b which ever is lower )         40         53            25 3 Total Contribution (2)* (c)       240       212          175 Less : Rent per Week       200       150          100 40 62 75 GKE is Profit is Maximum at Red ball of $ 75/-

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