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kumpel [21]
3 years ago
11

The Blankets ‘R Us Company sells hand-made blankets. The company is planning to print a catalog and send them out in a direct ma

il campaign. The cost of printing the catalog is $10,968.75 for setting up the presses plus $1.75 to print and mail each catalog. Each catalog that is mailed out generates $8.50 in revenue. (Hint: Use Goal Seek function) a) How many catalogs should be mailed out to break-even? b) How much revenue is generated at the break-even point? c) What is the profit if they mail out 2000 catalogs?
Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

a) 1,625

b) $13,812.50

c) $2,531.25

Step-by-step explanation:

a) The number of catalogs required to break-even is the number for which revenues equal printing costs:

8.50n=1.75n +10,968.75\\n=\frac{10,968.75}{6.75}\\n=1,625

1,625 catalogs are needed to break-even.

b) The revenue generated at the break-even point is given by the revenue per unit multiplied by 1,625 units:

R = 1,625*\$8.50\\R=\$13,812.50

Break-even revenue is $13,812.50.

c) The profit of mailing out 2000 catalogs is determined as the revenue minus total costs at that output:

P=8.50n-1.75n -10,968.75\\P=6.75*2000 -10,968.75\\P=\$2,531.25

The profit is $2,531.25.

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