Based on the profit contributions & constraints given in the information above, what is the pizza shop's expected profit if it produces at the optimal amount?
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- A firm produces two different kinds, A and B, of a commodity. The daily cost of producingx units of A and y units of B isC(x, y) = 2x2 − 4xy + 4y2 − 40x − 20y + 514Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. Findthe daily production levels x and y that maximize profit. (Be sure to show your first andsecond order conditions.)Buddies Production Costs Quantity of Ear Buds MC ($) ATC ($) 10 - 5.00 15 2.00 4.00 20 2.44 3.61 25 3.56 3.60 30 4.02 3.67 35 5.49 3.93 40 5.93 4.18 45 8.59 4.67 If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? $ d. Now assume the market price is $5.50 per pair, and Buddies produces the profit-maximizing quantity of ear buds. What will Buddies profit or loss be per week? $Economic profits may result from: O a. innovation b.risk taking Oc. exploiting market inefficiencies Od. all the above O e. a and b
- A firm manufactures two products, each of which must be processed through cutting and finishing departments. The information for the two goods are represented in the table below: Good Type 1 and 2 Good 1 Cutting of material 3 hours per unit Finishing 4 hours per unit Profit Margins R5 per unit Good 2 Cutting of material 4 h per unit Finishing 6 h per unit Profit Margins R6 per unit Total cutting of material 120 hours Total finishing 260 h ours (a) Write down the constraints or inequalities. (b) Write down the objective function. (c) Sketch the graphs of inequalities and shade the feasible region. (d) How many types of each good should be manufactured to maximize profit.1. Mzanzi-Ndizvo (Pty) is a vaccine manufacturing company that has the following costs ofproduction. Cost of capital is R50 000, labour cost is R30 000, and the total cost the firm is willing to pay is R300,000. Identify the type of this production function and Illustrate it with a 2D graph. 2. If the demand and supply curve for cell phones is given by: D = 80 - 4P, S = 40 + 6P In a market with a price of P for smartphones, compute the number of phones that would be bought and sold at equilibrium.A tuition agency hires tutors to teach students. The following table displays how total outputincreases as tutors increase.No. of Tutors 1 2 3 4 5Total No. ofStudents4 10 18 24 3Tutors cost $50 each regardless of how many students each tutor has. The agency paid $500 in non-refundablemarketing fees to set up the business as a fix cost. In the short run, considering the shut-down condition, whatis the lowest price per student Tom’s tuition agency can charge? Explain your answer.
- Please help ASAP What is the firm's fixed cost? What is the profit-maximizing level of output? Given that half of the fixed cost is avoidable and the firm produces at the optimal level of output, what is the firm's avoidable cost? Should the firm shut down its production? yes or no15) If the average cost (AC) of producing a good is increasing as a firm produces moreoutput (q), then which of the following must be TRUE?A) AFC is falling; AVC is rising; MC > AVCB) AFC is falling; AVC is falling; MC > AVCC) AFC is rising; AVC is rising; MC > AVCD) AFC is rising; AVC is rising; MC < AVCE) AFC is falling; AVC is falling; MC < AVC(a) Derive the first order condition showing how much labor and capital a producer should use to minimize the total costs of producing a given level of output. (b) What is the second order condition for the producer to achieve (a). (c) Draw a figure showing your answer to part (a) and another figure showing the opposite (i.e., a producer maximizing output with given total costs). How does either situation compare with a producer who has neither a total output constraint or a total cost constraint?
- 7) A company with production technology y = K 0.5. L 0.5, where y, Ki L are, respectively, the units of product, capital and labor. If the price of a unit of work is € 5 and that of a unit of capital is € 2.5 and the company is using 100 units of capital and 25 units of labor then Choose one: A. We cannot make any claims as to whether or not the company is producing efficiently B. We can say that the company is producing inefficiently: It uses too much capital C. The combination of labor and capital is not achievable by the company D. We can say that the company is producing inefficiently: it uses too much work E. We can say that the company is producing efficientlyMaximize profit 4D + 3WWith constraintsTime 3D + 2W ≤ 150Cost 2D + 4W ≤ 220D, W ≥ 0 We saw the best point was (20, 45) with profit 215. Use this problem and the notes to answer the following (except part 4):1 write true or false and then explain either response to this – the range of optimality on the D variable refers to how much the value 20 in the best point can go down or go up and this point is still the best,2 write true or false and the explain either response to this – the range of feasibility of the time constraint refers to the value 150 and how much if can change and the best point is still (20, 45),3 write true or false and explain either response to this – the shadow price of .125 on the cost constraint means that if the right hand side of the constraint (the 220) is anywhere between 100 and 300 then each 1 unit increase in this RHS (say from 100 to 101) will increase profit by 12.5 cents and any 1 unit decrease in this RHS will decrease profit 12.5 cents,4 write true or…Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. Sketch a diagram to illustrate average total cost (ATC) and marginal cost (MC) for Q from 1 to 20. Identify the quantity at which the average total cost (ATC) reaches its minimum and interpret its economic or business implication. An innovation was diffused widely among all firms in the market. Adoption of this innovation will help to reduce 20% of the variable cost for any given level of production while all other factors remain the same. A firm needs to pay a fee of $5 to adopt the innovation. Formulate the new production cost functions (TC, TFC, TVC, ATC and MC) for each firm.