If it costs $20 to set up and later clean a bagel press and bagels cost $1 per week per bagel to store, how many times should the bagel press be run each week to produce 360 bagels a week to be sold continuously?
A)Twice
B)4 times
C)Once
D)3 times
E)5 times

Question

Quizplus · Accepted Answer

Setting up and cleaning the bagel press costs $20, and storing each bagel costs $1 per week. To produce 360 bagels a week, we need to find the number of times the press should be run each week.

Let's assume that the bagel press can produce x number of bagels each time it is run.

We know that the cost to store 360 bagels for a week is $360 ($1 per bagel). So, the total cost to produce and store 360 bagels is:

Cost = $20 (setup and cleaning) + (360/x) ($1 per bagel to store)

We want to find the value of x that minimizes the total cost. To do that, we can take the derivative of the cost function with respect to x, set it equal to zero, and solve for x:

dCost/dx = -360/x^2 + 20x^-2 = 0

Solving for x, we get:

x = sqrt(360/20) = 3

So, the bagel press should be run 3 times each week to produce 360 bagels at minimum cost. Therefore, the answer is D) 3 times.

If It Costs $20 to Set Up and Later Clean