[填空题]
The daily cost of pr.ru((c kgfz 36 hdt9*q6tai6eln uz5woduction of a comp+ tqh/irgnx w.pywk q0) )7/0. sgqgvgany producing lithium batteries is modelle/gg)yw+/skq g.qt0q wpvrig)x7n . h0d by the 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)= .
