Question
The Dolly Company is manufacturing three types of soft dolls: Rolly, Polly, and Molly. The assembly of these three dolls requires that some work be
The Dolly Company is manufacturing three types of soft dolls: Rolly, Polly, and Molly. The assembly of these three dolls requires that some work be done in the sewing department, the accessory department, and the packaging department. The following Table shows the time that each doll must spend in each department, along with the profits generated by each doll.
All expressed in seconds
Dolls | Sewing | Accessory | Packaging | Profit |
Rolly | 4 | 2 | 2 | $5.00 |
Polly | 2 | 3 | 2 | $6.00 |
Molly | 7 | 2 | 5 | $10.00 |
The management of the Dolly Company has committed to an order of 2,000 Molly dolls to a large retail chain. The company has 12 employees in the sewing department, 8 in the accessory department, and 7 in the packaging department. Each employee works an 8-hour day.
What is the equation that reflects the accessory department constraint? Show your work
(a) 4X1 + 2X2 + 2X3 ≤ 8
(b) 2X1 + 3X2 + 2X3 ≤ 64
(c) 4X1 + 2X2 + 7X3 ≤ 28, 800
(d) 2X1 + 3X2 + 2X3 ≤ 3, 840
(e) 2X1 + 3X2 + 2X3 ≤ 230, 400
Step by Step Solution
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The correct answer is b 2X1 3X2 2X3 64 Explanation Let X be the quantity of Rolly dolls pro...Get Instant Access to Expert-Tailored Solutions
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