Machine
How many hours should the company run the large machine to maximize cost under the given constraints?
A factory has two machines that make both t-shirts and hats. The larger machine can make 100 t-shirts and 80 hats per hour, and it costs $85 per hour to operate. The smaller machine can make 50 t-shirts and 20 hats per hour, and it costs $40 per hour to operate. The factory needs to produce at least 1,000 T-shirts and 680 hats per day. Each machine has to be used for at least two hours per day. How many hours should the company run the large machine to maximize cost under the given constraints?
To make “EXACTLY” 1000 T-shirts and 680 hats, the best option is running the bigger machine for 7 hours and the smaller machine for 6 hours. Total Cost incurred = 7 * $85 + 6 * $40 = $835
Brian Wilson – Cheap Seats Interview – “The Machine” Revealed
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