Galaxy Industries is an emerging toy manufacturing company that produces two \"s
ID: 3238241 • Letter: G
Question
Galaxy Industries is an emerging toy manufacturing company that produces two "space age" water guns that are marketed nationwide, primarily to discount toy stores. The two models, the Space Ray and the Zapper, are produced in units of one-dozen each and are made exclusively from a special plastic compound. Two of the 5000 pounds of the special plastic compound and the 200 hours of production time that are available each week. Galaxy's marketing department is more concerned with building a strong customer demand base for the fledgling company's products than with meeting mg production quotas. Two of its recommendations, which Galaxy's management has accepted, are to limit total weekly production to at most 3500 dozen units and to prevent weekly production of Space Rays from exceeding that of tappers by more than 1000 dozens. The following table summarizes the per-dozen resource requirements and profit values (calculated by subtracting variable production costs from their wholesale selling prices). (a). Define the decision variables for Galaxy's production situation. Write the symbol or notation and its plain description for each decision variable. (b). Formulate the objective function. (c). Formulate the constraints for this investment situation. Label each constraint parenthesis.Explanation / Answer
Ans:a) Decision variables will be number of dozens i.e X1 and X2 to be produced for space ray and zapper respectively every week.
b) Objective function: MAZIMIZE: Z=10 X1 + 7 X2 c) 2 X1 + X2 5000 (Raw material constraint)3 X1 + 4 X2 200 (Time constraint)
X1 + X2 3500 (Total number of dozen as a constraint)
X1 - X2 1000 (production of space ray shount not exceed by 1000 dozen unit from zapper) X1, X2 0
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