Spencer S Tailoring A Clothing Manufacturer That Produces Men S Shirts And Pants Has Two Primary Resources Available 1 (49.82 KiB) Viewed 38 times
Spencer S Tailoring A Clothing Manufacturer That Produces Men S Shirts And Pants Has Two Primary Resources Available 2 (49.82 KiB) Viewed 38 times
Spencer's Tailoring, a clothing manufacturer that produces men's shirts and pants, has two primary resources available: sewing-machine time (in the sewing department) and cutting time (in the cutting department). Over the next month Spenser's can schedule no more than 280 hours of work on the sewing machines and no more than 450 hours of work on the cutting machines. Each shirt requires 1.0 hour of sewing time and 1.5 hours of cutting time. Each pants requires 0.75 hour of sewing time and 2 hours of cutting time. At least 100 shirts must be made. Spencer's accounting department analyse cost and sales figures and states that each shirt will yield a $4 contribution to profit and that each of pants will yield a $3 contribution to profit. Spencer's must maximise it's profit. a) Use X₁ and X2 to define the variables indicating which variable is X₁ and X2 2 Marks b) Derive the Objective Function in terms of X₁ and X2 3 Marks c) Formulate the Constraints under which the company must operate 7 Marks d) Graphically illustrate the Feasible Region 5 Marks e) State the coordinates of the corner points e.g A(2,7), B(12,5) 6 Marks f) Determine the optimal solution 4 Marks g) Determine the profit at the optimal solution 3 Marks
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