Homework3_LinearProgramming_Solutions

# Homework3_LinearProgramming_Solutions - 311 Operations...

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311 Operations Management Spring 2008 Homework 3: Linear Programming Due 2: February 11, 2008 1. (30 points) Kristen decides to bake Deluxe Chocolate Chip Cookies (DCCC) in addition to her Standard Chocolate Chip Cookies (SCCC). She has enough dough on hand to make 30 cookies and enough chocolate chips to make 40 Standard cookies (SCCC). SCCC’s require 5 chocolate chips and sell for \$3 each while DCCC’s require 10 chocolate chips and sell for \$4 each. (a) (15 points) Formulate a linear program to maximize revenue. Decision Variables (These could also be X1, X2 or anything reasonable as long as it is consistent): SCCC: number of standard cookies (2pt) DCCC: number of deluxe cookies (2pt) Objective: maximize 3*SCCC + 4*DCCC (5pt) Constraints: Dough: SCCC+DCCC 30 (2pt) Chips: 5*SCCC+10*DCCC 200 (2pt) Non-negativity: SCCC,DCCC 0 (2pt) (b) (10 points) Graph the feasible region for the linear program. (c) (5 points) For which product mix of SCCC and DCCC is revenue maximized? Is the choice unique or are there other solutions which provide the same revenue?

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Homework3_LinearProgramming_Solutions - 311 Operations...

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