Following the given equations of costs and its supposed price, find the equilibrium costs and equilibrium quantities a. TC=3Q2 +12Q+350, P = 60 b. TC = 300Q2 +10Q+120, P = 40
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Following the given equations of costs and its supposed
a. TC=3Q2 +12Q+350, P = 60
b. TC = 300Q2 +10Q+120, P = 40
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- Following the given equations of costs and its supposed price, find the equilibrium costs and equilibrium quantities TC = 300Q2 +10Q+120, P = 40Explain the relationship between the determinant (the cost of factors of production and the state of technology) and quantity supplied of these two products (1. Sony Television and 2. Samsung Mobile phone)Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly please
- Marginal cost is given by the function :- 2Q2 - 130 And the equilibrium quantity is 10 so calculate the marginal cost.A firm is deciding between two different sewing machines. Technology A has fixed costs of $500 and marginal costs of $50 whereas Technology B has fixed costs of $250 and marginal costs of $100. If the price is $20 per unit, what is the break even amount of units for technology A? A firm is deciding between two different sewing machines. Technology A has fixed costs of $500 and marginal costs of $50 whereas Technology B has fixed costs of $250 and marginal costs of $100. If the price is $20 per unit, what is the break even amount of units for technology A? a. 70 b. 60 c. 50 d. None - They would have to shut downA company is planning to manufactureand market a new two-slice electric toaster. After conducting extensive market surveys, the research department provides the following estimates: a weekly demand of 200 toasters at a price of $16 per toaster and a weekly demandof 300 toasters at a price of $14 per toaster. The financial department estimates that weekly fixed costs will be $1,400and variable costs (cost per unit) will be $4. a)Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b)Using your knowledge from Finite Math, determine the Revenue functionin terms of ?. c)Determine the Marginal Revenu eat 2 different production levelsfor example 350 and 600 units. Interpret these results.(HINT: Consider what a positive or negative first derivative implies) d)Assume that the cost function is linear. Use the financialdepartment’s estimates to express the cost…
- For the following cost function TC = a + bQ – cQ2 + dQ3, determine the equations for TFC, TVC, AFC, AVC, AC, MC. (a,b,c,d> 0) This question is from microeconomics.Two months ago, on July 1, 2019, the State of Illinois raised gasoline taxes by $.19 (19 cents) per gallon of gas suppose the new tax is imposed on Illinois gasoline stations. Draw a graph, showing the new cost curves reflecting the additional 19 cents per gallon tax in place. Be sure to indicate which curves depict the pre-tax scenario and which depict the post-tax scenario (for example, by drawing them pre-tax and post-tax curves in different color and using clear labels) (Both a graph and a narrative are needed for this question)Q.No.3. Consider the production function: (3) Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of X, the output will be maximum? (b) If input price is 0.15$ and output price is 4$ then at what level of X, profit will be maximum?
- ABC Company is the manufacturer of a low-noise air-purification system. Its current capacity is 10,000 units/month, but ABC received orders totaling 9,000 units each month. Currently, ABC sells its system at a price of $200 per unit, its fixed cost is $500,000/month, and its variable cost is $100/unit. Note that currently, half of ABC’s variable cost is materials, and the other half is labor cost (wages for workers). ABC wants to consider cutting its price by 10% to stimulate demand. If ABC expands its capacity, it will have to lease additional manufacturing machines, each of which will cost $20,000/month to lease and can add 1000 units to ABC’s capacity. All existing workers are already working full-time. So, if ABC expands production, ABC has to either pay existing employees for overtime (1.5 times the regular wages) or hire new workers, who are expected to be paid 90% of the hourly wage of existing workers but produce only 75% of the hourly output of existing workers. (a) What is…. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.2. The supply Qs = s(P, Pm) has the functional form of: Qs = -12 + 0.5P - 2Pm initially, the materials cost Pm_0 = 7. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_0 = . At P=80, Q_0 = . 3. Now, the cost of materials changes to Pm_1 = 9. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_1 = At P=80, Q_1 = Draw the second supply curve and show how supply shifted.