Question

If a widget factory has a fixed operating cost of $3,600 per day plus a cost of $1.40 per widget produced. If a widget sells for $4.20, what is the least number of widgets that must be sold per day to make a profit?

Answer 1

Answer:

1286

Step-by-step explanation:

Based on the question, we know our limit is $3600 per day, and every widget costs $1.40. Now we also know that a widget sold for $4.20. Let's make an equation out of this question.

3600 is our cap

For every widget produced, the cost is 1.40

A widget got sold for 4.20

($4.20 - $1.40)x = $3600

Solve for x. Distribute.

$4.20x - $1.40x = $3600

Combine like terms.

$2.80x = $3600

Divide $2.80 from both sides

x = 1285.71

Which we can round to 1286. Therefore:

x = 1286

Answer 2

1286 is your answer! Hope this helps.