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Contact [7]
3 years ago
7

A company’s total monthly sales (in millions of dollars) t months from now are given by:

Business
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

a) \frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

b) S(4) = 0.5*(4^2) +3(4) -5=15 million

c) For this case we have the total sales $ 15 millions after t =4 months

d) S'(4) = 4+3 = 7 million

e) This value represent the increase in the amount of sales in millions after t=4 months

Explanation:

For this case we have the following function for the sales

S(t) = 0.5 t^2 +3t -5

Part a          

For this case we want to find the derivate of S respect to t and we got:

\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

Part b

For this case we want to find the value of S when t = 4 so if we replace we got:

S(4) = 0.5*(4^2) +3(4) -5=15 million

Part c

For this case we have the total sales $ 15 millions after t =4 months

Part d

For this case we just need to replace t=4 in the derivate and we got:

S'(4) = 4+3 = 7 million

Part e

This value represent the increase in the amount of sales in millions after t=4 months

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Download xlsx
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