[All Steps] The total cost C(x) incurred by the On-Time Watch Company at one of its plants during a given day is given by C(x)=1500+30x+x^2, 0≤ x≤
Question: The total cost \(C\left( x \right)\) incurred by the On-Time Watch Company at one of its plants during a given day is given by \(C\left( x \right)=1500+30x+{{x}^{2}},\,\,0\le x\le 75\), where \(x\) is the number of watches produced
- What is the average cost On-Time incurs in manufacturing fifty watches at this plant in one day?
- Find \(C'\left( x \right)\)
- What is the rate of change in the total cost when the level of production is 15 watches per day?
- What is the approximate cost of producing the 16 th watch?
Deliverable: Word Document 
![[Solution Library] The demand and cost function](/images/solutions/MC-solution-library-45437.jpg "[Solution Library] The demand and cost function of a particular brand")
[Solution Library] The demand and cost function of a particular brand
(See Steps) Use linear approximation to estimate
![[Steps Shown] Find the first, second and](/images/solutions/MC-solution-library-45439.jpg "[Steps Shown] Find the first, second and third derivatives of")
[Steps Shown] Find the first, second and third derivatives of
(All Steps) Find the first and second derivative of
![[Solution] Use the linear approximation formula f(x_0+Δ](/images/solutions/MC-solution-library-45441.jpg "[Solution] Use the linear approximation formula f(x_0+Δ")
[Solution] Use the linear approximation formula f(x_0+Δ
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