Monthly sales of a particular personal computer are expected to decline at the following rate of s'(t) computers per month, where t is time in months and s(t) is the number of computers sold each month.

s'(t)= -30t^(2/3)

the company plans to stop manufacturing this computer when monthly sales reach 1,000 computers. if monthly sales now (t=0) are 2,440 computers, find s(t). how long will the company continue to manufacture this computer?

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

Where,

t = number of months

On integrating,

According to the question,

S(0) = 2,440,

Hence, the required function,

If S(t) = 1,000,

pls ask

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x