The Dolly Company is manufacturing three types of soft dolls: Rolly, Polly and M

Question

The Dolly Company is manufacturing three types of soft dolls: Rolly, Polly and Molly. The assembly of these three dolls require that some work be done in the sewing department, the accessory department and in 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

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

Dolls Sewing Accessory Packaging Profit Rolly 4 2 2 $5.00 Polly 2 3 2 $6.00 Molly 7 2 5 $10.00

Explanation / Answer

The correct answer is (b) 2X1 + 3X2 + 2X3 64

Explanation : -

Let X1 be the quantity of Rolly dolls produced, X2 be the quantity of Polly dolls produced and X3 be the quantity of Molly dolls produced. In the accessory department, Rolly doll must be processed for 2 seconds, Polly doll for 3 seconds and Molly doll for 2 seonds. There are 8 employees in accessory department with each employee working for 8 hours. The total hours 8 employees can work is ( 8x8) i.e 64 hours.

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