SOLUTION: a.)A butcher wants to buy some cows and pigs. He has the sum of $9800 to spend, and the number of pigs bought must be less than the number of cows bought. He has space only for 12

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a.)A butcher wants to buy some cows and pigs. He has the sum of $9800 to spend, and the number of pigs bought must be less than the number of cows bought. He has space only for 12      Log On

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Question 998270: a.)A butcher wants to buy some cows and pigs. He has the sum of $9800 to spend, and the number of pigs bought must be less than the number of cows bought. He has space only for 12 animals. If the cost per cow is $900 and the cost per pig is $700, write down a set of in-equations to represent the conditions give above.
b.)draw a graph to represent the conditions give above.
c.)If the profit on a cow is $550 and the profit on a pig is $325, determine the butchers expected maximum profit.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
c cows, p pigs
system%28c%2Bp=12%2Cp%3Cc%2C900c%2B700p%3C=9800%29

9c%2B7p%3C=98
-
c=12-p
substitute
9%2812-p%29%2B7p%3C=98
108-9p%2B7p%3C=98
108-2p%3C=98
108-98%3C=2p
10%3C=2p
highlight%28p%3E=5%29
-
p=12-c
substitute
9c%2B7%2812-c%29%3C=98
9c%2B84-7c%3C=98
2c%3C=98-84
highlight%28c%3C=7%29

One of the requirements was fewer pigs than cows. This is highlight_green%28p%3Cc%29. This means that: c=7,p=5; as a possibility.
In fact, the only possible answer here.

Last question: Bucthcer's profit will be based on just the one data point, c%2A550%2Bp%2A325
7%2A550%2B5%2A325
highlight%285475%29