Question 6

Marginal analysis is very important in business and economics. In the following example below, a company manufactures fuell tanks for cars. The total weekly cost in dollars of

producing x tanks is given by

C(x)= 10,000+ 90x-0.05x²

Explain how you would

(A) Find the marginal cost function

(B) Find the marginal cost at a production level of 400 tanks per week

(C) Interpret the results of part (8)

(D) Find the exact cost of producing the 401st item

Be certain to show your work when providing an explanation of your answer(s)

Question 7

Optimization is often used in industries, commerce, and organizations to make better decisions about the products their customers want

A) In your own words, explain what is meant by optimization problems.

8) In your own words, summarize the strategy to solve optimization problems.

C) Using the real-le application below, determine the following:

An office supply company sells x permanent markers per year at Sp per marker. The price-demand equation for these markers is p=10-0.001x What price should a company charge for

their markers to maximize revenue and explain how to find the maximum revenue. Be certain to show your work when providing an explanation of your answer(s)

Question 8

Investing money is always an important decision one must make throughout life. There are various ways to invest money. As a result,

A) Identify and provide an explanation for A-Pet Ba certain to include explanations for the variables, Pr, and t

B) Identity and provide and explanation for /= Prt. Be certain to include explanations for the variables, Pr, and t

C) Using the interest formulas above, explain which is the better investment on a $1000 Investment at 6% for 2 years. Be certain to show your work when providing an explanation of your

answers