3. Suppose a firm has a well-behaved technology and it can produce 38 units of output using the input bundles (x1, x2) = (16,8) and (x1, x2) = (4,24). – Will the bundle (x1, x2) = (13,12) produce more output, less output, or the same amount of output? (Explain your answer.)
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- 4. Smarty’s Dish company manufactures household and commercial satellite dishes according to the production function. C(Q1, Q2) = 100 + 5Q1 + 2Q2 + .5Q1Q2 Where Q1 and Q2 are household and commercial satellite dishes produced in a day, respectively. Suppose Smarty produces 10 household dishes and 8 commercial dishes per day. Should he divide production into separate facilities? Why? a. No. The firm enjoys cost complementarities b. Yes, because the firm does not realize cost complementarities c. No, because even though the firm does not enjoy cost complementarities, it does realize economies of scope at this level of output. d. Yes, because the firm does not enjoy cost complementarities, and it does not realize economies of scope at this level of output.Question four Suppose that a firm's total cost equation is TC= 10,000+ 1000 + 0.25Q2 Where TC is total cost and Q is the level of output. (a) What output level will minimize the firm's average total cost? (b) Calculate the average and marginal cost at the average cost minimizing output level16) Suppose the total cost of producing T-shirts can be represented as TC = 50 + 2q,where q is output level. Which of the following statements is TRUE at all levels ofoutput?A) MC = AVCB) MC = ACC) MC > AFC.D) All of the above.E) A and B only
- Question 1 Output (Q) Total Fixed Cost (TFC) Total Variable cost (TVC) 0 100 0 1 100 50 2 100 125 3 100 205 4 100 295 5 100 395 Which of the following is true of marginal costs, based on the data in the table above? 1. Marginal costs are rising throughout the output range shown. 2. Marginal costs are falling throughout the output range shown. 3. Marginal costs are constantSuppose you manage a business that produces high-end dog food. The business produces 3,000 dog food cans per day, and can sell each can at $2.00/can regardless of how much is produced. Your firm currently employs 20 workers, each of whom earns $15/hour and work 8 hours per day. Inputs, like the meat for the food and the metal for the can, cost $1.00/can. Your overhead expenses, including rent, property taxes, insurance, etc., which does not vary with the number of cans produced, equals $250 per day. a. (3) Calculate your company’s current daily profit. You’re considering whether to hire additional workers to produce additional cans. Each worker would be paid $15/hr. and material costs remain constant at $1.00/can. You estimate the 21st employee would produce an additional 200 cans per day, and the number of additional cans from each additional worker would be decreasing by 40 (a 22nd employee could produce an additional 160 cans per day, a 23rd employee could produce an additional…Refer to Table 7.9 and Figure 7.7 above. What is the marginal gain in output from increasing the number of barbers from 4 to 5? From 5 to 6? Does it continue the pattern of diminishing marginal returns? Explain.
- 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 downQ2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)If the total cost for producing widgets can be represented by TC = 8,000 + 0.75*X, where X is the number of widgets produced and total revenue can be represented by TR = 4.00*X, what is the break-even value for number of widgets produced? a. 1,684 b. 2,000 c. 2,462 d. 3,763
- The diagram displays short-run cost curves for a facility that produces liquid crystal display (LCD) screens for cell phones: a) What are the daily total fixed costs of producing LCD screens?b) What are the total variable costs of producing 100 LCD screens per day?c) What are the total costs of producing 100 LCD screens per day?d) What is the marginal cost of producing 100 LCD screens instead of 99? (Hint: To answer this question, you must first determine the total costs-or, alternatively, the total variable costs of producing 99 LCD screens.)Q1.The following is a Cobb-Douglas production function: Q = 1.75K0.6L0.5. What is correct here? * -This production function displays constant returns to scale -This production function displays increasing returns to scale -A one-percent change in L will cause Q to change by one percent -This production function displays decreasing returns to scale Q2. For studying demand relationships for a proposed new product that no one has ever used before, what would be the best method to use? * -consumer surveys, where potential customers hear about the product and are asked their opinions -double log functional form regression model -ordinary least squares regression on historical data -market experiments, where the price is set differently in two markets1. If the marginal product of an input is falling, then what must be true? Average fixed costs must be constant. Marginal cost must be rising. Average total cost must be constant. Marginal cost must be constant. 2. If Captain America and Thor decide to specialize, who should specialize in each good? Captain America should specialize in shields. Thor should specialize in hammers. Thor should specialize in both goods. Captain America should specialize in both goods. Captain America should specialize in hammers. Thor should specialize in shields. 3. Aditya regularly consumes two goods, which we’ll call good X and good Y. One day, the price of good X decreases. As a result, Aditya decreases his consumption of good Y. Based only on this information, goods X and Y seem to be: Substitutes for each other Complements for each other Normal goods Inferior goods
