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MGSC 1205
Introduction to Quantitative Methods I
Winter 2019
Assignment #6
Due: 1 pm, Friday, March 8, 2019
1. Recall from Assignment 5 Q2 the linear programming model to help Garden Mart maximize revenue was:
Variables: Let r = number of regular packages made
d= number of deluxe packages made.
Objective:
Maximize $30r+$45d
Constraints:
10r+15d≤1800
daffodil supply
20r+25d≤2500
tulip supply
6r+15d≤1500
hyacinths supply
r≥50
regular package requirement
d ≥ 1 so 2d≥1r ; 2d-1r ≥0
r 2
OR ( r-2d≤0)
deluxe to regular ratio
r,d≥0 or all variables non-negative
a) Graph the feasible region. Label all lines and the axis and the feasible region.
b) Find the coordinates of the feasible region, the corresponding profits and identify the optimal solution.
c) Use Excel Solver to solve the problem and attach a copy of your spreadsheet model with the answers AND
the Answer report.
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