1. Earlier in the semester, we found that the cost function for producing x pairs of...
Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. 1. Earlier in the semester, we found that the cost function for producing x pairs ofa particular type of skates was given by: C(x) = 752.75 +42.54x a. What is the inverse of this function? b. What does it represent? Pick one ordered pair on the graph of the...
3. Suppose the cost function for producing z pairs of a particular type of skates was given by C(z) 705.20+32.75 a) What is the inverse of this function? What does it represent? (Your answer should include complete sentences in contert.) b) Pick one ordered pair on the graph of the inverse function, and describe what it tells you about this situation. (Your answer should include complete sentences in contezt. c) Use the inverse to determine the number of pairs of...
3. Suppose the cost function for producing z pairs of a particular type of skates was given by C(z) 705.20+32.75 a) What is the inverse of this function? What does it represent? (Your answer should include complete sentences in contert.) b) Pick one ordered pair on the graph of the inverse function, and describe what it tells you about this situation. (Your answer should include complete sentences in contezt. c) Use the inverse to determine the number of pairs of...
Math 112 Written Homework: Inverse Functions Student Name: Instructor: Math 112 Section: sentences. All graphs should be drawn accurately on this sheet, and be fully labeled Earlier in the semester, we found that the cost function for producing x pairs of a particular type of skates was given by: C(x) 752.75 +42.54x. What is the inverse of this function? What does it represent? Pick one ordered pair on the graph of the inverse function, and describe what it tells you...
The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. 200 x + 1 c'(x)=17+ If the fixed costs are $3,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x)=0 If 1,000 pairs of shoes are produced each week, the average cost per pair of shoes is...
solve the following 3. Since g(x)-mx+b In(Cx)), we suspect that f(x)c)Ca. We can rewritefx) C2/ for constants C,k. Then gx) In))-x + In(c). In(2) a. Write out the algebra that brings us frome to C2** (Hint: This only relies or properties of exponents and the fact that ein 2 = 2. So, look at the algebra cheat sheet) b. By comparing the two expresSons for g(x), find k and C. Round to the first decimal place. (Note: ax + b...
4, Shelby invests $700 in a bank account that earns a fixed 6% interest compounded annually. The amount in the account after t years is given by f(t) 700(1.06) a) Graph this function on your calculator in an appropriate window. Explain how you know this function has an inverse function. (Your answer should include complete sentences in contezt.,) b) Use this graph to sketch an accurate graph of the inverse function in an appropriate window. Label quantities and scales on...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
NUMBER 26 26. The cost of producing x units of a commodity is given by. TCU) = 100 + 402 – 2x a. Derive the following functions: FC - VC = AFC= Avc= ATC= b. Find TC(101) - TC(100) c. Find TC(x + 1) - TC(x), and explain in words what this means, 27. Consider the following inverse demand function: P = 200 - 40. Graph out the total revenue function in excel 28 Find the inverse demand function and...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...