A marginal revenue function is given below. R'(x)=(176/1+3e^-.02x) -44 (0 less than or equal to x less than or equal to 600) a. It is safe to assume that R(0)=0 Explain why this is true. b. Explain...

A marginal revenue function is given below.

R'(x)=(176/1+3e^-.02x) -44

(0 less than or equal to x less than or equal to 600)

a. It is safe to assume that R(0)=0 Explain why this is true.

b. Explain why a good approximation to the revenue, R(600) , can be had using the following formulation:

R(600)=dR_1+dR_2+...dR_9+dR_10

where dR_i=R'(x_i^*)dt,

dt=60

x_i^*=60(i-1)

and i= 1,2,...,9,10

 c. Modify the Desmos integral estimator to find a numerical solution to part (a) when ?=10, n=50, and ?=100. Paste the graph you make for each value of n.

d. use Desmos own integral calculator to find a numerical solution to part (a).