Cost, Revenue, Profit A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations
C = 75,000 + 1.05x and R = 500x-x^2/25
where x is the number of toys produced in 1 week. If
production in one particular week is 5000 toys and is increasing at a rate of 250 toys per week, find:
(a) the rate at which the cost is changing.
(b) the rate at which revenue is changing.
(c) the rate at which profit is changing.

Profit is revenue minus cost. Now, take your three functions, differentiate with respect to time t, where t is measured in weeks, and use the given:

dxdt=250 in your application of the chain rule. Your final unit for the 3 derivatives will be dollars/week. im pretty sure that will bve your answer

Step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

if she was to only spend a dollar she can get 1lb

step-by-step explanation: