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A local daycare has a daily operating cost of $900 plus a cost of $250 per child that attend. If a parent pays $420 per child, which inequality could be used to determine the number of children, c, they must accept to make money and become profitable?

a. 450c < 900+ 250c
b. 250c > 900+450c
c. 450c > 900 + 250c
d. 250c < 900 + 450c

Sagot :

450c > 900 + 250c;

For business to be profitable;

Selling price of daycare services > Cost price;

Payment for daycare of 1 child =  $450

Payment for daycare of 'c' children = $450 × c;

                                                       = $450c;

Operating cost for 1 child = $250;

Operating cost for 'c' children = $250c;

Total daily operating cost = $900 + $250c;

Therefore;

450c > 900 + 250c;

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