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:
[tex]8.50n=1.75n +10,968.75\\n=\frac{10,968.75}{6.75}\\n=1,625[/tex]
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:
[tex]R = 1,625*\$8.50\\R=\$13,812.50[/tex]
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:
[tex]P=8.50n-1.75n -10,968.75\\P=6.75*2000 -10,968.75\\P=\$2,531.25[/tex]
The profit is $2,531.25.