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A candy shop puts together two prepackaged assortments to be given to trick-or-treaters on Halloween. Assortment A contains 2 candy bars and 2 suckers and
A candy shop puts together two prepackaged assortments to be given to trick-or-treaters on Halloween. Assortment A contains 2 candy bars and 2 suckers and yields a profit of 50 cents. Assortment B contains 1 candy bar and 2 suckers and yields a profit of 30 cents. The store has available 400 candy bars and 500 suckers. Use this information to complete parts (a) through (e) below. (a) Fill in the chart below. A B Available 400 1 Candy bars Suckers Profit 2 2 50 cents 2 500 30 cents (b) Let x be the number of A assortments and y be the number of B assortments. Referring to the chart, give the two inequalities that x and y must satisfy because of the availability of each confection. 2x + y s400 2x + 2y s 500 (c) Give the inequalities that x and y must satisfy because x and y cannot be negative. y20 x20 (d) Express the earnings from producing x packages of assortment A and y packages of assortment B. Earnings
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