Sal\'s Sunglass Hut Consider the following sensitivity report for Sal\'s Sunglas

Question

Sal's Sunglass Hut Consider the following sensitivity report for Sal's Sunglass Hut, which makes two models of sunglasses (deluxe and standard). Sal has up to 440 hours of available labor next month. He has scheduled 300 for shipping, 120 for production and 20 hours for advertising. The following solution is based on maximizing profit. Final Reduced Objective Allowable Allowable Cost Coefficient Increase Decrease 7.5 3.5 Name Value D (Deluxe) S (Standard) 450 50 1.00E+30 800 25 10 Shadow Constraint Allowable Allowable Price R.H. Side Increase Decrease 53..5 40 4.2 Final Name Value Shipping Production Advertising minimum 260 120 20 300 1.00E+30 32 10 1.5 120 2.6 20 a. Identify the decision variables, objective function, and constraints in simple verbal statements. b. Mathematically formulate a linear optimization model.

Explanation / Answer

B.

A The decision variables D No of deluxe sunglasses S No of Standard sunglasses Objective function Max of Profit Z =50*D+25*S Constraints Shipping hours available Production hours available Advertising hours available Total labor hours available Units of sunglasses are non negative

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