Joe's Confectionary 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 40 cents. Assortment B contains 1 candy bar and 2 suckers and yields a profit of 30 cents. The store has available 500 candy bars and 600 suckers.
(a) Fill in the following chart:

(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.
(c) Give the inequalities that x and y must satisfy because x and y cannot be negative.
(d) Express the total earnings from producing x packages of assortment A and y packages of assortment B.
(e) Graph the feasible set for the packaging problem.

Transcribed Image Text:

Available Candy bars Suckers Profit