Marginal cost is given by 12 e0.5Q. Fixed cost is 56. What is the total cost? O a. 6e0.5Q + 56 O b. 24e0.5Q + 32 O c. 6e0.5Q + 50 O d. 24e0.5Q + 56
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- The price for obtaining a cubic reactor of 1.2 m length was 2000 $ in 2013 (and the instillation cost is 30% of its price). If it is wanted by an investor to obtain a new one of larger size (the double) this year and to insulate it using one layer of insulation material that was cost 7 $/m² in 2013 (knowing that the cost of workers was 4 $/m² in 2013). How much will be the cost to install this new reactor? Year M&S Material Worker Index Index Index 2013 323 360 1480 587 2021 1505 600If Mark produces five pairs of shoes, his total costs are a. $400 b. $370 c. $360 d. $320It’s time to get a new laptop that is $2500. If you save up for it each month it will take one year in an account that earns 5% annual interest. (A)How much would you have to put aside each month to have enough for it? (B)What are the total acquisition costs of saving up for the laptop? answer it using the annualize percentage change formula
- You're company manufactures on large scale unit and it has been shown that marginal or variable cost are given by this function (92-2x)sh where xis the number of units of output per annum the fixed costs are 800000 annually, it has also been shown that the marginal revenue which is the gradient ot the total revenue is given by (112-2x) ... required determine by integration the total cost, the total revenue , the break even point of your company and the number of units of output that would maximise total revenue34- 34 - : If firm X produces 20 units of product with a total cost of 100, what is its average cost? a) 2nd B) 120 NS) 80 D) 5 TO) oneMetters Cabinets, Inc., needs to choose a productionmethod for its new office shelf, the Maxistand. To help accomplishthis, the firm has gathered the following production cost data: PROCESS TYPE ANNUALIZEDFIXED COST OFPLANT & EQUIP. VARIABLE COSTS (PER UNIT) ($)LABOR MATERIAL ENERGY MassCustomization $1,260,000 30 18 12Intermittent $1,000,000 24 26 20Repetitive $1,625,000 28 15 12Continuous $1,960,000 25 15 10Metters Cabinets projects an annual demand of 24,000 units forthe Maxistand. The Maxistand will sell for $120 per unit. a) Which process type will maximize the annual profit from pro-ducing the Maxistand? b) What is the value of this annual profit?
- Units of fixed input K Labor Hours (L) Output (Q) TFC TVC TC AFC AVC ATC MC 3 0 0 90 0 90 0 0 0 0 3 1 4 90 20 110 22.5 5 27.5 5 3 2 90 90 40 130 1 0.444 1.444 0.233 3 3 160 90 60 150 0.563 0.375 0.938 0.286 3 4 200 90 80 170 0.45 0.400 0.85 0.5 3 5 230 90 100 190 0.391 0.435 0.826 0.667 3 6 250 90 120 210 0.36 0.480 0.84 1 3 7 260 90 140 230 0.346 0.538 0.885 2 3 8 265 90 160 250 0.340 0.604 0.943 4 If the price of the output is $1, how many units of output should the firm produce to maximize profit? What is the firm’s profit level?Units of fixed input K Labor Hours (L) Output (Q) TFC TVC TC AFC AVC ATC MC 3 0 0 90 0 90 0 0 0 0 3 1 4 90 20 110 22.5 5 27.5 5 3 2 90 90 40 130 1 0.444 1.444 0.233 3 3 160 90 60 150 0.563 0.375 0.938 0.286 3 4 200 90 80 170 0.45 0.400 0.85 0.5 3 5 230 90 100 190 0.391 0.435 0.826 0.667 3 6 250 90 120 210 0.36 0.480 0.84 1 3 7 260 90 140 230 0.346 0.538 0.885 2 3 8 265 90 160 250 0.340 0.604 0.943 4 If the firm produces 265 units of output and sells it at $1 per unit, is it making profits or losses? How much are they making?A firm has the following cost curves: Q MC VC FC TC AVC ATC 0 --- 0 30 30 --- --- 112 2 22 26 3207214 4 72 25.5 55015224.4 a) Fill in the blanks.