[填空题]
The daily cost of production of a company producing l1py*khi2a5i oithium )((u,gyuyk 8zye2q i+g gsn/24kuhjx batteries is modelled yuuy42gugqe iysx2k+g /, ((hk jn8z)by the cubic function
C(X)= 5000+ 65X - 0.1X$^2$ - 0.0005X$^3$ , 0≤X≤150
where x is the number of car tires produced and C the cost in USD.
1.Write down the daily cost to the company if no car tires are produced.
we get is .
The marginal cost of production is the cost of producing one additional unit. This can be approximated by the gradient of the cost function.
2.Find an expression for the marginal cost, C′(x), of producing x car tires.
C′(x)=a+bx-cx$x^2$ ; a= , b= , c= .
3.Find the marginal cost of producing
3.1.
100 lithium batteries;C′(100)= .
3.2.
200 lithium batteries.C′(200)= .
