Question

Fiona wants to sell a local advertising calendar. There are 1,000 households in her community, and she estimates that 30 percent will buy a calendar. The printing company will charge a $100 set up fee, and calendars will cost $4.00 each to print. She needs to cover all costs and make a $600 profit. Assume that each household will buy one calendar in one year.

Answer 1

complete question:

Fiona wants to sell a local advertising calendar. There are 1,000 households in her community, and she estimates that 30 percent will buy a calendar. The printing company will charge a $100 set up fee, and calendars will cost $4.00 each to print. She needs to cover all costs and make a $600 profit. Assume that each household will buy one calendar in one year.  When she makes the $600 profit, what is the contribution per household

Answer:

contribution per household = $ 6.33333333333

Explanation:

Fiona wants to sell a local advertising calendar. There are 1000 household in her community . Her estimates for the number of the people that will purchase a calendar is 30% of the household in her community. This means 30/100 × 1000 = 300 household is the estimated number to buy her calendar.

Note that each household can only buy one calendar for that year.

Her total cost for the calendar can be calculated below:

set up fee = $ 100

cost for each calendar = $ 4

since she is producing 300 calendar = 4 × 300 =$ 1200

Total cost= 100 + 1200 = $ 1300

Total selling price - total cost price = profit

profit = $600

total cost = $ 1300

total selling price = ?

Total selling price - total cost price = profit

Total selling price -  1300 = 600

Total selling price = 600 + 1300

Total selling price = $1900

The contribution per household can be computed as follows:

Total selling price/estimated number of household to buy a calendar

contribution per household = 1900/300

contribution per household = $ 6.33333333333