Question 616950
John rents a booth for $35.00 a day and sells ice cream cones.
His cost for each cone is $2.00 and he sells the cones for $5.00 each.
If John wants to make at least a $200.00 profit for the day, how many ice cream cones must he sell?

a.  34

b.  78

c.  79

d.  118

Which would be the correct answer and please explain, the way to arrive at the answer... please..


Remember that: Revenues – cost = profit  


Let the amount of ice cream cones he has to sell to make a $200 profit be C
Then the cost of the cones he hopes to sell = 2C, and his total costs are: 2C + $35


His revenues from selling C ice cream cones, at $5 per cone = 5C


We now have: 
Revenues – cost = profit, OR


{{{5C - (2C + 35) >= 200}}}


{{{5C - 2C - 35 >= 200}}}


{{{5C - 2C >= 200 + 35}}}


{{{3C >= 235}}}


{{{C >= 235/3}}}, or {{{C >= 78&1/3}}}


Since we don’t have fractional amounts of ice cream cones, we round up this amount to 79


This means that in order for him to make a $200 profit for the day, he has to sell AT LEAST {{{highlight_green(79)}}} ice cream cones (CHOICE C)


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