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A firm has the following benfits and costs equations: B(Q) = 450Q - 26Q² and MC(Q) = 136Q
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- A company makes solar panels. The company's revenue function, in dollars, is R(n) =10n, where n is the number of panels produced. The cost function is C(n) 100 (2)30. R and C are shown on the graph below. 1000 800 600 400 200 1 20 40 60 80 100 in Number of Panels a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if ) the number of dollars of revenue per panel is increased slightly? ii) the cost function is changed to C(n) 100(2)35? f) What does the number that was changed in part e) ii) represent?| %3D DollarsA manufacturing plant has a short-run cost function of C(q) = 100q – 4q2 + 0.2q3 + 450. %3D (a) What is the firm's short-run fixed cost and variable cost function? (b) Calculate MC, AVC, AFC, and AC ECONSLIC(q) = 10 + 15q + 4q2 (a) Find the ATC, AVC, AFC and MC(b) Find the minimum of the ATC and plot the functions found in (a)(c) Give an intuitive explanation for the shape of the ATC, MC and explain the relationship between both cost functions.
- T/F The fixed cost incur at even zero level of output.F Given Cost and Revenue functions C(q)=q³-8q² +59q + 5000 and R(q) = -3 -39² +2600q, what cost is incurred when marginal profit is $0? The costs are $ (Round to nearest cent.)A manufacturing company produces solar panels. The variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P=-0.25Q+ 250, where P is the unit sales price of the product and Q is the demand of solar panels. Given the following: • Total cost = Fixed cost + Variable cost • Revenue = Demand x Price • Profit = Revenue - Total cost 26. The equation that represent the total cost is: a. ($10,875+$20) Q b. $10,875-$20 Q c. $10,875 × $20 Q d. $10,875+$20 Q 27. The equation that represent the total revenue is: a. $0.25Q²+$250Q b. - $0.25Q²+$250Q c. - $0.25Q²-$250Q d. $0.25Q²-$250Q
- A New York renewable energy company pays $0.18 per kilowatthour (kWh) for the first 10,000 units of electricity each month and $0.15/kWh for all remaining units. If a firm uses 25,000 kWh/month, what is its average and marginal cost?ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the aboveConsider a power system with three generators. Each generator has a piecewise linear cost function defined by the following points. Generator 1 Generator 2 Generator 3 Production (MWh) 100 200 300 400 200 400 600 800 100 400 700 1000 Cost ($) 915 1760 2635 3540 1870 3530 5230 6970 1060 3460 6040 8800 The min/max production of each generator corresponds to the min/max production values in the table (i.e., Generator 1 produces at least 100 MWh and no more than 400 MWh). (a) Plot the inverse supply function for this system. (b) If the demand is completely inelastic and equal to 1600 MWh į. compute the electricity price. ii. calculate the gross consumer surplus, consumer surplus, the producers revenue, the producers profit, and the global welfare. iii. determine the production level, cost, revenue, and profit for each generator.
- A 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.) $ 4.56T/F The fixed cost remains same at all level of output.production function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700