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29 October, 00:32

A small business makes 3-speed and 10-speed bicycles at two different factories. Factory A produces 16 3-speed and 20 10-speed bikes in one day while factory B produces 12 3-speed and 20 10 - speed bikes daily. It costs $1000/day to operate factory A and $800/day to operate factory B. An order for 80 3-speed bikes and 140 10-speed bikes has just arrived How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.) Factory A should be operated Factory B should be operated days. days. What is the minimum cost? (Give your answer correct to the nearest dollar.)

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  1. 29 October, 04:16
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    Factory A should be operated 6.11 days

    Factory B should be operated 6.88 days

    The minimum cost for factory A is $6,110

    The minimum cost for factory B is $5,504

    Step-by-step explanation:

    Factory A

    Daily production: 16 3-speed and 20 10-speed bikes

    Total daily production = 16+20 = 36 speed bikes

    Order: 80 3-speed and 140 10-speed bikes

    Total order = 80+140 = 220 speed bikes

    Number of days = 220/36 = 6.11 days

    Cost per day = $1,000

    Minimum cost for 6.11 days = $1000 * 6.11 = $6,110

    Factory B

    Daily production: 12 3-speed and 20 10-speed bikes

    Total daily production = 12+20 = 32 speed bikes

    Total order = 220 speed bikes

    Number of days = 220/36 = 6.88 days

    Cost per day = $800

    Cost for 6.88 days = $800 * 6.88 = $5,504
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