Solve the problem.A small manufacturing plant produces two kinds of bicycles-1-speed and 10-speed. The plant can manufacture up to 400 of the 1-speed bicycles and up to 500 of the 10-speed bicycles per month, but it can only manufacture 650 of both kinds in all every month. It takes 40 man-hours to manufacture a 1-speed bicycle and 80 man-hours for the 10-speed; there are 44,000 man hours available per month. The profit of the 1-speed bicycle is $20 and the profit of the 10-speed bicycle is $30.(a) Let x and y represent the number of 1-speed and 10-speed bicycles manufactured per month, respectively. Give all the inequalities that x and y must satisfy.(b) Express the profit as a linear function of x and y.(c) Graph the feasible set for this problem.
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What will be an ideal response?
(a)
(b) | [profit] = 20x + 30y |

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