Question

#1 ServKing is a tennis equipment manufacturer produces two different types of tennis balls, the SpinTec and the CourtMinder. The tennis balls are manufactured in batches; each batch of the SpinTec yields $14 profit, while each batch of the CourtMinder yields $7 profit. The maximum daily demand is for 150 batches of each type. The tennis balls are made using three separate processes: making the core, adding the middle layer, and coating with felt. There is one machine for making the core and one for adding the middle layer; three machines are available for the coating process. Both types require 3 minutes per batch to make the core. Adding the middle layer takes 6 minutes per batch for the SpinTec, but only 2 minutes per batch for the Court Minder. The felt coating process takes 15 minutes per batch of SpinTec and 9 minutes per batch of CourtMinder. Each machine can be operated for 10 hours per day. Formulate a linear programming model to determine the optimal number of batches of each type of tennis ball that ServKing should produce, with the goal of maximizing profit. Use either the al or algebraic solution method to determine this optimal solution and the associated profit.

Answer 1

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MAXIMIZE: Z-14 X17 X2 3 X1 3X 3600 6 X1 +2Xas600 15 X1 9 X1800 1 Xi +0Xi 150 0Xl Xi s 150 Xi, X20 SBB 2Te 218 180 150 90 38 80 160 20B 20 14目 180