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The coordinates of the vertices of the commonly shaded region and the objective function, P(d, c) = 0.25d + 0.75cP of d comma x equals twenty five hundredths d plus seventy five hundredths c, can help us find the answer to this question. Fill in the boxes to correctly complete each sentence. Round each final profit value to the nearest hundredth.
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Answer:
Correct! Hermione should sell 20 donuts and approximately 63 croissants to maximize her profits!
Incorrect. The correct answers are:
P(20, 20) = 0.25 (20) +0.75(20) = 20P of 20 comma 20 equals twenty five hundredths times 20 plus seventy five hundredths times 20 equals 20
P(70, 20) = 0.25 (70) +0.75(20) = 32.50P of 70 comma 20 equals twenty five hundredths times 70 plus seventy five hundredths times 20 equals thirty-two and 5 tenths
P(20, 62.96) = 0.25 (20) +0.75(62.96) = 52.22P of 20 comma 62 and 96 hundredths equals twenty five hundredths times 20 plus seventy five hundredths times 62 and 96 hundredths equals fifity-two and twenty-two hundredths
P(35.83, 54.17) = 0.25 (35.83) +0.75(54.17) = 49.59P of 35 and 83 hundredths comma 54 and 17 hundredths equals twenty five hundredths times 35 and 83 hundredths plus seventy five hundredths times 54 and 17 hundredths equals forty-nine and five hundred eighty-five thousandths
Hermione should sell 20 donuts and approximately 63 croissants to maximize her profits.
Either way, the 20 and 62 or 63 produce the highest profit. She wants to maximize the profit so making one more (63) gives her more profit.
Incorrect. Try again. Use your graphing calculator to help you make accurate calculations.