The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x)=−0.06x2+25x+600." role="presentation" style="display:...

The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula

C(x)=−0.06x2+25x+600." role="presentation" style="display: inline; line-height: normal; font-size: 14px; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C(x)=-0.06x2+25x+600.C(x)=-0.06x2+25x+600.

Find the marginal cost function C′(x)" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C'(x)C'(x).
C′(x)" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C'(x)C'(x) =

Use it to determine how fast the cost is going up at a production level of 100 teddy bears.

Compare this with the exact cost of producing the 101st teddy bear.
The exact cost of producing the 101st teddy bear is $ .
Thus, there is a difference of $ .

Find the average cost function C¯" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C¯C¯, and evaluate C¯(100)" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C¯(100)C¯(100).
C¯(x)" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C¯(x)C¯(x)= .
C¯(100)" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">C¯(100)C¯(100)= .
What does the answer tell you?
The average cost of producing 100 teddy bears is $ .