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{"ops":[{"insert":"A company is involved in the production of two items (X and Y). The resources need to produce X and Y\u00a0\nare twofold, namely machine time for automatic processing and craftsman time for hand finishing. The\u00a0\ntable below gives the number of minutes required for each item:\nMachine time Craftsman time\nItem X 13 20\nItem Y 19 29\nThe company has 40 hours of machine time available in the next working week but only 35 hours of\u00a0\ncraftsman time. Machine time is priced at \u00a310 per hour worked and craftsman time is costed at \u00a32 per\u00a0\nhour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item\u00a0\nproduced (all production is sold) is \u00a320 for X and \u00a330 for Y. The company has a specific contract to\u00a0\nproduce 10 items of X per week for a particular customer.\nFormulate the problem of deciding how much to produce per week as a linear program.\n\u0000\n"}]}
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