What is the cheapest way of producing 850 units of output if a firm operates with the production function 0.5 0.5 Q = 30K L and can buy input K at 75 $ per unit and L at 40 $ per unit?
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What is the cheapest way of producing 850 units of output if a firm operates with the
production function 0.5 0.5 Q = 30K L and can buy input K at 75 $ per unit and L at 40 $
per unit?
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- 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?*** Please answer e, f, g,h** An ice cream company finds that at a price of $4.00 for each pint, they can sell 4000 pints of ice cream per day. For every $0.25 decrease in price, daily demand increases by 200 units. The company’s cost function is C(q)=0.01q2-90q+211600, where C represents their daily costs (in dollars), and q is the number of pints sold per day. a)Find the demand function q(p). b) Find the revenue function R(q). Hint: first you will need to solve for p in terms of q from the demand function.) c) How many pints should the company sell per day if they want to maximize their revenue? d) what price should the company charge for each pint if they want to maximize their revenue? e)Use the criteria MC(q)=MR(q) to determine how many pints the company should sell per day if they want to maximize their profit. f)What is the maximum profit the company can earn per day? g)Find the average cost function. h)How many pints should the company sell per day if they want to minimize…Suppose that a firm’s production technology is described by theproduction function f(x1, x2) = (x1)^2x2, where x1 denotes the quantity ofinput 1 and x2 denotes the quantity of input 2. Let the price of input 1 be$1 and the price of input 2 be $4.a. Derive the conditional input demand functions for bothinputs.b. Derive the firm’s cost function
- A manufacturer of upholstery can sell 2121 yards of fabric at a price of $3.11$3.11 per yard. If the price is $1.85$1.85, she can sell 3535 yards. The total cost of manufacturing x yards of fabric is C(x)=0.6x+36C(x)=0.6x+36 dollars. Step 1 of 3 : Assuming the demand function is linear, find an equation for D(x)D(x). Do not round your answer.Suppose a product's revenue function is given by R(q)=−6q2+400q, where R(q)is in dollars and qis units sold. Also, it's cost function is given by C(q)=103q+3333, where C(q)is in dollars and qis units produced. Find a simplified expression for the item's Marginal Profit function ( MP(q)) and record your answer in the box. Be sure to use the correct variable. (Use the Preview button to check your syntax before submitting your final result). Answer: MP(q)=Consider a firm with a total cost function TC = q^2 + 20q + 225. a) In a diagram, measuring quantity along the horizontal axis, draw the firm’s Marginal Cost and Average Cost curves. Suppose that the government introduces a $10 per unit seller tax. b) What is the firm’s new total cost function? In the same diagram as above, illustrate how the tax affects the firm’s MC and AC curves. Does the tax affect the firm’s MC? Does it affect the firm’s minimum efficient scale? Suppose instead that the government introduces a new licensing fee that raises the firm’s recurring fixed cost to 400. C) In a new diagram draw the firm’s MC and AC before and after the introduction of the licensing fee. Does the fee affects’ the firm’s MC? Does it affect the firm’s minimum efficient scale?
- if a product function of a firm is given by Q=k^2L^3 & the input price r=8 w=2 A find the level of 'L' &'k' that maximizes output total outlay 240Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function is given by C(q)=550+12qC(q)=550+12q, where qq is hundreds of units sold/produced, while R(q)R(q) and C(q)C(q) are in total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)=MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.
- Please no written by hand solutions Suppose that a firm produces two goods x and y when the total cost function is C = 8x ^ 2 - xy + 12y ^ 2 The firm is bound by contract to produce a minimum combination of goods totaling 42. Find the cost-minimizing quantities of x and y.2.4 Water is produced and sold by the government. Demand for water is represented by the linear function Q=50-2P. The total cost function for water production is also a linear function: TC(Q)= 100+ 100. You will also need to work out both the average cost of production, denoted by AC(Q), equal to the total cost of producing a quantity of output divided by that quantity of output, TC(Q)/Q, and the marginal cost of production, denoted by MC(Q), which is the additional cost incurred to produce one more unit. a. What fee should the government charge per unit of water in order to reach the efficient allocation? b. How much should it charge if it wishes to maximize profit from the sale of water? C. What is the value of the efficiency loss that results from charging the price in part b rather than the price determined in part a?A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (c) If production increases continuously, what is likely to be the average cost per sink?