0 Question 1 [3 0/1 pt '0 3 23 99 (9 Details The total cost, in dollars, to produce q items is given by the function C(q) = 56,000 + 21.40q . Find the total cost of producing 600 items. 5 Find the marginal cost when producing 600 items. That is, find the cost of producing the 601St item. S Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 2 [1/ 0/1 pt '0 3 ('3 99 6) Details The total cost, in dollars, to produce q items is given by the function C(q) = 42, 000 + 18.10q 0.0039;2 . Find the total cost of producing 500 items. 5 Find the marginal cost when producing 500 items. That is, find the cost of producing the 501St item. 5 0 Question 3 [3 0/1 pt '0 3 ('3 99 (D Details Mike's Parts Inc, has heavy duty jacks that cost C(m) = 9:3 4m2 + 32x + 10 a) Find M0 = Find the marginal cost at .7: = 3. b) The marginal cost is What does this predict about the cost of the next unit? c) The next unit should cost about dollars Question Help: El Message instructor Submit Question Jump to Answer 0 Question 4 [1/ 011 pt '0 3 ('3 99 CD Details Suppose a product's cost function is given by C (q) = 2q2 + 4001;, where C(q) is in dollars and q is the number of units produced. Use the marginal cost function to find the approximate cost of producing the 37\" unit. Marginal cost: dollars per unit 0 Question 5 [3 0/1 pt '0 3 2:3 99 (9 Details In an extensive study of cost functions for 40 firms in Great Britain, it was found that if a: is the output (in millions of units) and y is the total cost (in thousands of pounds of sterling), then the cost function is similar to the following: C(zv) = 0.02952 + 2.34m + 11.48 Compute the marginal costs when :3 = 13 million units have been produced. The marginal costs at 13 million units is (Enter a number only, including a negative sign, if appropriate.) The proper units are: 0 Units per sterling 0 Sterling per unit 0 Thousands of pounds of sterling per million units 0 Millions of units per thousands of pounds of sterling 0 Question 6 B 0/1 pt '0 3 8 99 G) Deta A linear cost function is C(m) = 2:1: + 101 (in dollars). a) What is the slope and C-intercept ? b) What is the marginal cost? c) What is the fixed cost? d) What is the cost of producing one more item if 48 are currently being produced? e) What is the cost of producing one more item if 207 are currently being produced? 0 Question 7 [1\" 0/1 pt '0 3 23' 99 6) Details The total cost, C, (in thousands of dollars) to make reading glasses is a function of the number of pairs of glasses made or (in thousands) and is given by C(u) : 0.01 - 11,2 + 2.43 - 'u. + 10.47. A. Find the marginal cost at the production level of 26 thousand and choose the correct units (nearest 0.01) B. Which one is the best business interretation of the marginal cost above C. What is the average cost at the same production level? (nearest 0.01) D. At this production level if another pair of glasses are made the average cost will . Mike's Parts Inc, has a certain motor whose total cost is C = 34 + 0.12:2 MM: Find the marginal cost at m = 7. b) The marginal cost is What does this predict about the cost of the next unit? c) The next unit should cost about dollars d) Find 0(8) 0(7) = Question 9 0/1 pt 9 3 99 0 Details Suppose a product's revenue function is given by R(q) = -4q2 + 400q, where R(q) is in dollars and q is the number of units sold. Use the marginal revenue function to find the approximate revenue generated by selling the 28th unit. Marginal revenue= dollars per unit0 Question 10 [3 0/1 pt '0 3 ('3 99 6) Details Suppose a product's profit function is given by 1r(q) = 6q2 + 700q, where 1r(q) is in dollars and q is the number of units sold. (Economists use the symbol 71' to represent profit since p is usually used for price. In this context, 7r does not represent the number 71' m 3.14159.) Use the marginal profit function to find the approximate profit generated by selling the 39th\" unit. Marginal profit: dollars per unit 0 Question 11 [3 0/1 pt '0 3 ('3 99 6) Details Mike's Parts Inc, has a total profit function of R(m) : 59:1: and C(93) : 0.03:1:2 + 353: + 2300. If needed, round all answers to 2 decimal places. andPW b) Find P(430) = c) Find P(431) : d) Find may) : C] What does M P(430) predict? Profit will increase by about dollars if a 431 unit is sold. e) Find P(431) P(430) = What does that mean? The sale of the 431 unit will have a profit of dollars. 0 Question 12 [3 0/1 pt '0 3 2:3 99 G) Details A profit is earned when revenue exceeds cost. Suppose the profit function for a skateboard manufacturer is given by P(a:) = 34:19 0.22:2 272 , where P(2:) is measured in dollars and x is the number of skateboards produced and sold. What is the profit from the production and sale of 21 skateboards? How fast is the profit increasing when 21 skateboards are produced and sold? :1 (Do not include the units in your answers.) 0 Question 13 [3 0/1 pt '0 3 23 99 6) Details Suppose a cannery investigates the finances for its largest plant. A model of cost is found to be: C(q) = 0.02912 + 34.5q + 289. Revenue is modeled by R(q) = 53g -l 399. Both revenue and cost are measured in thousands of dollars and q is the annual pounds of canned items (in thousands) produced by the plant. Identify the following: A) The Marginal Cost function: B) The Marginal Revenue function: C) The Marginal Profit function: D) The Marginal Profits for q : 231 thousand pounds: dollars per pound E) How many pounds of canned goods must be made and sold for the company to break even? 0 5.908 pounds 0 1331.397 pounds 0 930.908 pounds 0 194.073 pounds 0 None of the above 0 Question 14 B 0/1 pt '0 3 23 99 6) Details For the following, use the cost function C(32) : 15m2 + 141:1: + 255, where C(m) is the cost of producing :3 items: 0($) :1} A) What is the average cost function E(:1:) = for this problem? B) What is the average cost for producing 85 items? Answer: 0 Question 15 [3 0/1 pt '0 3 :3 99 G) Details A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company charges a fixed $250 setup fee and $3 per mug. Complete an equation for the average cost per coffee mug if x mugs are made. Find the average cost per coffee mug if 260 mugs are made Question 16 0/1 pt 9 3 99 0 Details The amount of money, A(t) , in a savings account that pays 7% interest, compounded quarterly for t years, when an initial investment of $8300 is made, is given by A(t) =8300(1.0175) . A(9) - A(4) Find 9 - 4 Interpret the result0 Question 17 E 0/1 pt '0 3 8 99 6) Details The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. n m 84 112 126 Find the average rate of change of the daily receipts from day 0 to day 14. Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 18 E 0/1 pt '0 3 23 99 (D Details Let f(:1:) = 333 + 7. Find the average rate of change of the function on the interval [4, 7] Question 19 0/1 pt 9 3 99 0 Details The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period. Year 1997 1998 1999 2000 2001 Jobs 665 725 775 810 840 What is the average rate of change in the number of living wage jobs from 1997 to 1999? Jobs/Year What is the average rate of change in the number of living wage jobs from 1999 to 2001? Jobs/Year Question Help: Message instructor Submit Question Jump to Answer Question 20 0/1 pt 9 3 99 0 Details Use the graph of f to evaluate the following: 6- f(x) 4 X 2 The average rate of change of f from 2 to 3 =0 Question 21 B 0/1 pt 0 3 23 99 6) Details Given f(:1:) : find the average rate of change of f(:z:) on the interval [6, 6 + h]. Your answer as + 12 ' will be an expression involving h