A shoe company manufactures two types of shoes: tennis and basketball. Each shoe requires the use of two operations, stitching and coloring, and there are at most 28 hours available each day for each operation. A pair of tennis shoes requires 2 hours of stitching and 2 hours of coloring, while a pair of basketball shoes needs 1 hour of stitching and 2 hours of coloring. Due to other restrictions, the company can make at most 183 pairs of shoes a day. Additionally, due to a sponsorship agreement, the company needs to produce at least 4 pairs of tennis shoes for each pair of basketball shoes. The objective function is subject to constraints. Determine the constraints below. (Hint: Write the constraints line by line. Separate the non-negativity constraints with commas.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A shoe company manufactures two types of shoes: tennis and basketball. Each shoe requires the use of two operations, stitching and coloring, and there are at most 28 hours available each day for each operation. A pair of tennis shoes requires 2 hours of stitching and 2 hours of coloring, while a pair of basketball shoes needs 1 hour of stitching and 2 hours of coloring. Due to other restrictions, the company can make at most 183 pairs of shoes a day. Additionally, due to a sponsorship agreement, the company needs to produce at least 4 pairs of tennis shoes for each pair of basketball shoes.

The objective function is subject to constraints. Determine the constraints below. (Hint: Write the constraints line by line. Separate the non-negativity constraints with commas.)

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