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If Bob expects a task to take 7 hours and he has an efficiency factor of 70%, what is the estimates hours for this task to take if Bob has 100% efficiency?
A )7 B) 10 C) 17 D) 28
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- A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,7€ 1.99 .) Check all that apply. X1 Q2 What type of average cost-output relationship is suggested by these statistical results? Quadratic Linear Cubic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in…The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. 20- 15- 10- C(x) = 6 + /2x + 32 Osx< 50 Perform the following calculations and interpret the results. 10 20 30 40 50 Production C'(x) =U %D Cost (hundred dollars)
- Question No. 6 A firm manufactures cars at its plant in Swindon. At a capacity of 100 cars per week it knows that it has an assembly cost of £5,000 per car. It needs to expand production and does a series of design and cost exercises. The results are summarized below. |TP(cars/week) 200 400 600 800 1,000 1,200 1,400 1,600 Ass. cost/car 3,000 2,500 2,300 2,200 2,000 2,400 2,800 4,000 (i) Plot the cost curve for the possible factory extensions. (ii) Is this a short run or long run cost curve? (iii) Explain why this curve is U shaped.Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost isII. Find The Minimum Cost and graph : 1. C = x2 - 16x + 74 2. C = x2 - 40x + 405 Thank you.
- The cost, in millions of dollars, of building a three-story high school in NewYork State was estimated to be: 2C x x x x 1.7 0.14 0.0001 20 400where x is the number of thousands of square feet. Suppose that you arecontemplating building a for-profit three-story high school and estimate thatyour total revenue will be $0.2 million dollars per thousand square feet.(a) What is minimum area for a three-story high school in New YorkState, that this model covers? (b) What is the variable cost of building a three-story high school in NewYork State? (c) What is the fixed cost of building a three-story high school in NewYork State? (d) Determine the profit function,P x( ), for building a three-story highschool in New York State? . (e) Determine,P(250) , for building a three-story high school in New YorkState, and interpret the result. (f) How many thousands of square feet should a three-story high schoolbuilding in New York State be in order to break even?A heavy equipment manufacturing company has produced its first unit using 3500 hours and $300,000 overhead cost. The next unit, i.e. the second unit took 3300 hours. Overhead cost for this unit was $200,000. Suppose the labor was $20 per hour. Being the production manager, you need to decide what would be the total production costs for additional 10 units after the completion of the second unit. Round the final amount to nearest integer. $1,597,832 C$1,003,183 (DNone of the aboveWhat is the average variable cost of washing 90 cars? is the answer 4 or .7?
- (a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q² + 2q + 1000. If 2000 5-gallon water bottles are produced, find the %3D (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost SBx2 -3 (Bx+2 (b) Suppose that f(x) if X 2 Find the value of B so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 - 2q dollars, and the supply of watches is given by p 0.01q? + 2q + 1000 dollars, %3D where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches.For 9 units of a product, a manufacturer's cost is C(9) dollars and revenue is R(g) dollars, with C(500) = 7500, R(500) = 9800, MC(500) = 15 and MR(500) = 25 . (a) What is the profit or loss at 4 500 ? The is (b) If production is increased from 500 to 501 units, by approximately how much does profit change? The change in profit isA cost function is given. C(q) = 3600 + 5q-0.02q² + 0.00039³ (a) Find the average cost and marginal cost functions. +5 -0.02q +0.0003q average cost 3600 9 marginal cost 5 -0.04q+0.0009q (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to the nearest integer.) 194 ✓ units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ 32.41 X (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $ 4.56
