[填空题]
The daily cost of pr 5nv0oiu0*m/ meurlx(9kn;dyp od8 -goduction of a company p-md +/ t,:7ceu fulrpfroducing lithium batteries is modelled by th:uce m uf,dl/ftp 7-r+e cubic function
C(X)= 900+ 18X - 0.01X$^2$ - 0.0002X$^3$ , 0≤X≤150
where x is the number of lithium batteries produced and C the cost in USD.
1.Write down the daily cost to the company if no lithium batteries 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 lithium batteries.
C′(x)=a-bx-cx$x^2$ ; a= , b= , c= .
3.Find the marginal cost of producing
3.1.
50 lithium batteries;C′(50)= .
3.2.
100 lithium batteries.C′(100)= .
