A company is to add handmade bottles and wallets to its product line. Each bottle
nets the company $30 in profit, and each wallet nets $20. Both the bottles and
wallets require cutting and sewing: Bottles require 4 hours of cutting time and 7
hours of sewing time. Wallets require 5 hours of cutting time and 3 hours of sewing
time. If the cutting machine is available 12 hours a week and the sewing machine is
available 17 hours a week, what ratio of bottles and wallets will produce the most
profit within the constraints?

Respuesta :

The ratio of purses and bottles that would generate the most profit would be 1 lot of bottles and 1 lot of purses, since it would generate $50 profit per week.

How to calculate what would be the most appropriate proportion?

To calculate the most appropriate proportion for cuting and making bottles and bags, we must take into account the times and that these coincide with the availability of the machines.

According to the above, it can be inferred that if we want to include both products, we must produce them at least once in each process (cuting and sewing).

So we would use the cuting machine for 9 hours and the sewing machine for 10 hours.

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