A firm is planning to manufacture a new product. As the selling price is increased, the quantity that can be sold decreases. Numerically the sales department estimates: P= $475-0.250 where P= selling price per unit Q = quantity sold per year On the other hand, management estimates that the average unit cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $48Q+$22,500 where C= cost to produce and sell Q per year The firm's management wishes to maximize profit. What quantity should the decision makers plan to produce and sell each year and what profit will be earned?

Paradise Pottery had the following costs in May when production is 800 ceramic pots: materials, $8,700; labor (variable), $2,900; depreciation, $1,100; rent, $900; and other fixed costs, $1,500. If production changes to 900 units, how much will the total variable costs and total fixed costs be, respectively?

(You will need to use a spreadsheet to tackle these questions.) 1. How much of q can be produced for £60,000 if the total cost function is TC = 86 + 152q − 12q2 + 0.6q3? 2. What output can be produced for £150,000 if TC = 130 + 62q − 3.5q2 + 0.15q3? 3. Solve for x when 0 = −1,340 + 14x + 2x2 − 1.5x3 + 0.2x4 + 0.005x5 − 0.0002x6  

0 1 2 3 4 Total Product 5 6 Total Fixed Cost Total Variable Cost 165 Total Cost STC Q SAC = AFC + AVC || || AQ TFC Q SMC = Average Fixed Cost 22 53 AQ Use the definitions for TFC, TVC, TC, AFC, AVC, ATC and SMC along with the data provided above to fill in the missing values. Use space below for worksheet. ~ means infinitely large. Applicable relationships are: TVC Average Variable Cost 0 Q ATVC 60 Average Total Cost ATC 112.50 74.17 Marginal Cost 45 60

Davis Stores sells clothing in 15 stores located around the southwestern United States. The managers at Davis are considering expanding by opening new stores and are interested in estimating costs in potential new locations. They believe that costs are driven in large part by store volume measured by revenue. The following data were collected from last year’s operations (revenues and costs in thousands of dollars).   Store                  Revenues              Costs 101                      $4,120                $4,244 102                        2,247                  2,934 103                        5,768                  5,211 104                        4,022                  4,048 105                        2,944                  3,736 106                        4,063                  3,389 107                        6,914                  5,059 108                        1,809                  2,474 109                        5,516                  4,768 110…

Please answer question 6 with details on how to do it. Thank you.

Mirtha owns an online jewelry store that specializes in earrings. In March, she sells 50 pairs of earrings priced at $15. The cost of materials to create the 50 pairs of earrings was $100. The website she uses to sell her wares costs her $10 a month, and she is also charged 4% on each sale by the company that processes debit/credit card purchases. Which of the following best represents Mirth’s total cost? Group of answer choices A)The $750 Mirtha earned from earring sales minus the materials ($100), online website charge ($10), and payment processing charge (4%) B)The sum of the materials ($100), website charge ($10), and 4% payment processing charge (4%) C)The cost of all the materials used to create the earrings, $100 D)The costs of materials minus the costs it takes to run her business through the online store, in this case the $10 website charges and the 4% payment processing charge

Suppose that the production function takes the form X = min(10L, 5K) and that a competitive firm faces a wage rate of £60 per week and a weekly capital rental of £32. (a) How much must the firm spend to produce 100 units of output, and what is the average cost of production when X = 100? (b) What is the incremental cost of producing the 101st unit of output? (c) What happens to the cost of producing 100 units of output if the wage rate and the rental cost of capital rise by 25 per cent each? What happens to the average and marginal cost? (d) What happens to the cost of producing 100 units of output if the wage rate increases by £1, or if the cost of capital increases by £1?  

8 The cost of lumber per million board feet (MBF) in January 2007 was $464.49 when the value of the ENR materials cost index (MCI) was 2583.52. If the cost of lumber increased in proportion to the MCI, what was the value of the index when the cost of lumber was $400 per MBF?