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3 years ago

13

Rent, salaries, and other fixed costs are $100,000. The gross profit on each unit of sales is $10. How many units must the compa

ny sell before it begins to earn a profit?

1 answer:

Lemur [1.5K]3 years ago

8 0

Use the profit equation:

P(x) = R(x) - C(x).

P(x) = sought profit

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3 years ago

Tickets for a certain show cost $17, $21, or, for VIP seats, $40. If ten times as many $17 tickets were sold as VIP tic

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Answer:

Tickets sold:

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Step-by-step explanation:

Let x be the number of VIP tickets.

If ten times as many $17 tickets were sold as VIP tickets, then the number of $17 tickets is $10x.$

If the number of $17 tickets sold was 57 more than the sum of the number of $21 tickets and VIP tickets, then $10x+57=x+y$ and the number y of $21 tickets is $9x+57.$

Amounts earned:

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$17 tickets $=\$17\cdot 10x=\$170x$

$21 tickets $=\$21\cdot (9x+57)=\$(189x+1,197)$

Total $=\$(40x+170x+189x+1,197)=\$(399x+1,197)$

The sales of all three kinds of tickets would total $51,471, so

$399x+1,197=51,471\\ \\399x=51,471-1,197\\ \\399x=50,274\\ \\x=126$

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$17 tickets $=1,260$

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