Suppose that you own a 20-acre plot of land that you would like to rent out to wheat farmers. For them, bringing in a harvest involves $30 per acre for seed, $80 per acre for fertilizer, and $70 per acre for equipment rentals and labor. With these inputs, the land will yield 40 bushels of wheat per acre. Instructions: Enter your answers as a whole number. a. If the price at which wheat can be sold is $6 per bushel and if farmers want to earn a normal profit of $10 per acre, what is the most that any farmer would pay to rent your 20 acres? $ b. What price would the farmer pay to rent your 20 acres if the price of wheat rises to $7 per bushel? 2$
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- If two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?Suppose that you own a 20-acre plot of land that you would like to rent out to wheat farmers. For them, bringing in a harvest involves $30 per acre for seed, $80 per acre for fertilizer, and $70 per acre for equipment rentals and labor. With these inputs, the land will yield 40 bushels of wheat per acre. Instructions: Enter your answers as a whole number. a. If the price at which wheat can be sold is $6 per bushel and if farmers want to earn a normal profit of $10 per acre, what is the most that any farmer would pay to rent your 20 acres? $ b. What price would the farmer pay to rent your 20 acres if the price of wheat rises to $7 per bushel?Your product sells for $5 per unit, labor costs $5 per unit, and the rental price of capital is $20 per unit. Complete the following table, and then answer the accompanying questions. (1) (2) (3) (4) 5 6 L K Q MPL P VMPK 0 5 0 1 5 10 2 5 30 3 5 60 4 5 80 5 5 90 6 5 95 7 5 95 8 5 90 9 5 80 10 5 60 11 5 30 b. Which inputs are fixed inputs? Which are the variable inputs?c. How much are your fixed costs?
- 3. We often work with production technologies that give rise to initially increasing marginal product of labor that eventually decreases. Are the following statements then True or False? Explain.The marginal product of labor is positive so long as the slope of the production frontier is positive.1) The joint cost (in thousands of euros) for two products X and Y can be given by the following formula: C(x, y) = 40 + y^2 + 3x + 2xy + (x^2) y + y^3 where x represents the quantity of product X that is produced and y represents the quantity of product Y produced. • If 12 units of product X and 20 units of product Y are produced, what are the marginal costs? • What product line should be expanded in the current level of production? 2) A firm can produce up to 500 units each week. If its average cost function is C(x) = 500/x + 1500 and its total revenue function is given by: R(x) = 1600x − x^2 • What production maximizes profit? What is the maximum profit for that production level? • What production makes the profit equal to zero? (that point is called the break-even point)Discuss the impact of rational self-interest on each of the following decisions. Whether to attend college full time or enter the workforce full time Whether to buy a new textbook or a used one Whether to attend a local college or an out-of-town college (Production in the Short Run) Complete the following table. At what point does diminishing marginal returns set in? Units of the Variable Resource Total Product Marginal Product 0 0 — 1 10 — 2 22 — 3 — 9 4 — 4…
- A factory supervisor faces the following table: Quantity of laptops Labour cost ($) Rental of factory equipment ($) Price per laptop ($) Average cost Total profit 1 1 10 9 11 2 4 10 9 7 3 9 10 9 6.3 4 16 10 9 6.5 5 25 10 9 7 6 36 10 9 7.6 7 49 10 9 8.42 (b) Calculate the profits associated with each level of production, and complete the 6th column of the tableMonique has a flock of six chickens in her backyard that she initially bought for $6 each. Theflock currently lays 20 eggs per week, which Monique and her family consume at home, andher current cost of feed is $2 per week. Monique has a job that pays $8/hour with flexiblehours, but she is thinking of selling her chickens’ eggs to earn extra income. To start sellingeggs, she would need to increase production to 30 eggs per week. She can do this by increasingthe chickens’ feed to $3 per week and taking an hour off work each week to devote to chickenrearing. If the market price of her farm-fresh eggs is $1 per egg, what would be Monique’sweekly economic profits from selling her chickens’ eggs? (Select one from below) (a) −$9: This is her revenue minus her accounting cost.(b) −$1: This is her revenue minus her production cost.(c) $0: Eggs are a constant-cost market so producers must earn 0 profits.(d) $1: This is her revenue minus her economic cost.(e) $7: This is her revenue minus her…2. Thor runs a business called Heavy Hammers, which produces some of the heaviest hammers you’ve ever seen! He uses two inputs in the production of hammers: labour, denoted by L, and capital, denoted by K. Heavy Hammers produces hammers, denoted by H, according to the following production technology: H = f(L,K) = L12 K14 . Thor must pay each unit of labour a wage rate w and is able lease his capital equipment at r dollars per unit. The market price of hammers is $4. (a) Write down Thor’s profit maximization problem. (b) Write down and equation that sets the marginal product of labour equal to the wage rate of labour, w. Then write down and equation that sets the marginal product of capital equal to the lease rate, r. 2 (c) Solve the two equations from part (b) for the two unknown inputs L and K. Your solutions give the profit-maximizing choices of labour and capital as functions of the wage and lease rates, w and r. (d) If the wage is 2, and the lease rate is 1, how…
- 5:23 The amount that a firm pays for all of the inputs that go into producing goods and services is the: O average cost. O total revenue. O total price. O total cost.Suppose honey is produced in a beehive using bees and sugar. Each honey producer uses one beehive which she rents for $20/month. Producing q gallons of honey in one month requires spending 5q dollars bees, and 4q2 dollars on sugar. (a) What is the total cost of producing q units of honey for an individual honey producer in a given month? (b) In general, if the total cost of producing honey is a + bq + cq2, then the marginal cost of producing honey is b + 2cq. Assuming each honey producer operates as a price-taker, what is the monthly supply curve for an individual producer? (c) Let Q be the total market supply, and q is the supply of an individual firm. Therefore, q = Q/n where n is the total number of firms in the market. Suppose the demand for honey is given by Q = 512-4P. Also, suppose there are 50 honey producers in the market. What is the equilibrium price of honey? (d) How much profit does an individual producer make in a month? Is this a long-run equilibrium? If the…Your product sells for $5 per unit, labor costs $5 per unit, and the rental price of capital is $20 per unit. Complete the following table, and then answer the accompanying questions. (1) (2) (3) (4) 5 6 L K Q MPL P VMPK 0 5 0 1 5 10 2 5 30 3 5 60 4 5 80 5 5 90 6 5 95 7 5 95 8 5 90 9 5 80 10 5 60 11 5 30 Complete the above Table