Question

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a tea bag producer produces two brands of chinese diet tea bag, a and b, of mixed herbs p and
together. brand a tea bag contains 20 g of herbs p and 10 g of herbs q. brand b tea bag contains
50 g of herbs p and 70 g of herbs q. the producer have 12 kg of herbs p, 15 kg of herbs q and
16 paper boxes. each paper box can pack 25 brand a diet tea bags or 20 brand b tea bags.
the profits generated by a box of brand a tea bag and a box of brand b tea bag are $20 and $30
respectively. suppose x boxes of brand a tea bag and y boxes of brand b tea bag are produced.

(a) write down all the constraints.

(b) plot the constraints and
(1) find .x and y so that the profit will be a maximum.
(ii) hence find the maximum profit.​

Answer 1

Answer:

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