(c) Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? If required, round your answer to two decimal places. Product 1 Product 2 Production 66.05 84.88 If required, round your answer to nearest whole number. Total Profit $ 3254 How much overtime do you recommend using in each department? If required, round your answer to two decimal places. If you answer is zero, enter "0". OT hours: Dept. Used A 8.00 B 2.67 C 0 What is the increase in the total contribution to profit if overtime is used? If required, round your answer to nearest whole number. 160

Essentials of Business Analytics (MindTap Course List)
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ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter11: Linear Optimization Models
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Problem 10P: The management of Hartman Company is trying to determine the amount of each of two products to...
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(c) Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B,
and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal
production quantities, and what is the revised total contribution to profit?
If required, round your answer to two decimal places.
Product 1
Product 2
Production
66.05
84.88
If required, round your answer to nearest whole number.
Total Profit $ 3254
How much overtime do you recommend using in each department?
If required, round your answer to two decimal places. If you answer is zero, enter "0".
OT hours:
Dept.
Used
A
8.00
B
2.67
C
0
What is the increase in the total contribution to profit if overtime is used?
If required, round your answer to nearest whole number.
160
Transcribed Image Text:(c) Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? If required, round your answer to two decimal places. Product 1 Product 2 Production 66.05 84.88 If required, round your answer to nearest whole number. Total Profit $ 3254 How much overtime do you recommend using in each department? If required, round your answer to two decimal places. If you answer is zero, enter "0". OT hours: Dept. Used A 8.00 B 2.67 C 0 What is the increase in the total contribution to profit if overtime is used? If required, round your answer to nearest whole number. 160
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