A manufacturer of calculators produces two models: standard and scientific. Long-term demand for the two models mandates that the company manufacture at least 100 standard and 40 scientific calculators each day. However, because of limitations on production capacity, no more than 220 standard and 210 scientific calculators can be made daily. To satisfy a shipping contract, a total of at least 220 calculators must be shipped every day. (a) If the production cost is $5 for a standard calculator and $7 for a scientific one, how many of each model should be produced daily to minimize this cost? X standard X scientific (b) If each standard calculator results in a $2 loss but each scientific one produces a $5 profit, how many of each model should be made daily to maximize profit? standard scientific

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A manufacturer of calculators produces two models: standard and scientific. Long-term demand for the two models mandates
that the company manufacture at least 100 standard and 40 scientific calculators each day. However, because of limitations on production capacity,
no more than 220 standard and 210 scientific calculators can be made daily. To satisfy a shipping contract, a total
of at least 220 calculators must be shipped every day.
(a) If the production cost is $5 for a standard calculator and $7 for a scientific one, how many of each model should be produced daily to minimize this cost?
X standard
X scientific
(b) If each standard calculator results in a $2 loss but each scientific one produces a $5 profit, how many of each model should be made daily to maximize profit?
standard
scientific
Transcribed Image Text:A manufacturer of calculators produces two models: standard and scientific. Long-term demand for the two models mandates that the company manufacture at least 100 standard and 40 scientific calculators each day. However, because of limitations on production capacity, no more than 220 standard and 210 scientific calculators can be made daily. To satisfy a shipping contract, a total of at least 220 calculators must be shipped every day. (a) If the production cost is $5 for a standard calculator and $7 for a scientific one, how many of each model should be produced daily to minimize this cost? X standard X scientific (b) If each standard calculator results in a $2 loss but each scientific one produces a $5 profit, how many of each model should be made daily to maximize profit? standard scientific
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