The machine shop

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A machine shop makes Axle P and Axle Q. Each axle is fabricated by cutting, grinding, and turning operations. The hours of labor required to fabricate these axles are shown in the following table:

Operations Axle P Axle Q Hours of labor
Cutting 2 1.5 100
Grinding 3 2 40
Turning 1 2 60

The profits from the sale of Axles P and Q are $10\$10 and $8\$8 respectively. Let xx and yy represent the units of Axles P and Q to be fabricated.

The objective function for this problem is:

Maximize z=Q1x+Q2yMaximize \ z = Q_1x + Q_2y

The cutting operation constraint is:

A1x+A2yDA_1x + A_2y \le D

The grinding operation constraint is:

B1x+B2yEB_1x + B_2y \le E

The turning operation constraint is:

C1x+C2yFC_1x + C_2y \le F

Provide the correct values for Q1Q_1, A1A_1, B2B_2, C2C_2, DD and FF.

Output format:

10 20 30 40 50 60
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