A small business enterprise makes dresses and trousers. To make a dress requires , hours of cutting and 20 minutes of stitching. To make a trouser requires 15 minutes of cutting and /2 hour of stitching. The profit on a dress is R40 and on a pair of trousers R50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit. what the maximum profit?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
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A small business enterprise makes dresses and trousers. To make a dress requires /2 hours of cutting
and 20 minutes of stitching. To make a trouser requires 15 minutes of cutting and /2 hour of stitching.
The profit on a dress is R40 and on a pair of trousers R50. The business operates for a maximum of 8
hours per day
Determine how many dresses and trousers should be made to maximize profit. .
what the maximum profit?
Hint: We want to maximize the following profit function
= 120x + 150y
Subject to the constraints:
2x + 8y s 32
8x + 4y < 48
x2 0, y 20
Transcribed Image Text:A small business enterprise makes dresses and trousers. To make a dress requires /2 hours of cutting and 20 minutes of stitching. To make a trouser requires 15 minutes of cutting and /2 hour of stitching. The profit on a dress is R40 and on a pair of trousers R50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit. . what the maximum profit? Hint: We want to maximize the following profit function = 120x + 150y Subject to the constraints: 2x + 8y s 32 8x + 4y < 48 x2 0, y 20
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