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 80 scientific calculators each day. However,because of limitations on production capacity,no more than 200 standard and 170 scientific calculators can be made daily. To satisfy a shipping contract,a total of at least 200 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?
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?
Plz help me~
list the constraints on the mfr
std 100 min 200 max cost 5 loss 2
scientific 80 min 170 max cost 7 profit 5
total 200 min
to minimize cost 5*std +7*sci >=200
since the sci is the most costly try the minimum number of 80
7*80 +5*120 = 560 + 600 = 1160 and no constraints were violated
to maximize profit try max scientific and and min std
170*5 +100*-2 =850 –200 = 650
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