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Helen Keplinger must choose the amount of two wine types she will produce. Each liter of...

Helen Keplinger must choose the amount of two wine types she will produce. Each liter of Red wine returns $7 profit, while each liter of White wine returns $2 profit. The labor hours and bottling time used for each type of wine are given in the table below. Resources available include 169 labor hours and 74.25 hours of bottling process time. Assume the Helen Keplinger has more than enough grapes available to supply any feasible production plan.

Red

White

Labor (Hours)

0.15

0.50

Bottling Time (Hours)

0.20

0.05

a) Formulate a linear programming model that will enable Helen Keplinger to determine the number of liters of each type of wine to produce in order to maximize her profit. (15 pts)

b) Suppose Helen Keplinger labor hours varies from 150 to 250 with 10-unit increments. Use SolverTable to determine her expected profit? Would her bottling plan change? Explain your answer. (5 pts)

Solutions

Expert Solution

1. Set up the LP in excel as shown

2. Use the solver and input the values as shown.

3. final solution.

4 Impact of increase the labour in units of 10

milcah answered 1 year ago
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