Suppose Charles owns a lawn-mowing company. Assume that without workers, no yards are mowed. When he hires one worker, he is able to mow 2 yards per day. With two workers, he can mow 5 yards per day, and with three workers, he can mow 10 yards per day. The marginal product of the second worker is ? yards per day
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Suppose Charles owns a lawn-mowing company. Assume that without workers, no yards are mowed. When he hires one worker, he is able to mow
yards per day. With two workers, he can mow
yards per day, and with three workers, he can mow
yards per day.
The marginal product of the second worker is ? yards per day
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- Old MacDonald produces hay. He has a single employee, Jack. If Jack works for x hours he can produce x bales of hay. Each bale of hay sells for $1. The cost to Jack of working x hours is c(x) = x2/10. (a) What is the efficient number of bales of hay for Jack to cut? _____________ (b) If the most that Jack could earn elsewhere is zero, how much would MacDonald have to pay him to get him to work the efficient amount? ______________ (c) What is MacDonald’s net profit? _______________ (d) Suppose that Jack would receive $1 for passing out leaflets, an activity that involves no effort whatsoever. How much would he have to receive from MacDonald for producing the efficient number of bales of hay? ____________ (e) Suppose now that the opportunity for passing out leaflets is no longer available, but that MacDonald decides to rent his hayfield out to Jack for a flat fee. How much would he rent it for? ___________the agent has a maximum of 12 hrs in a day that she can work, and her aspiration is not a utility level, but a target of making at least $500 in a work day. Her utility from working q hours at an hourly rate w is given by wq − q2(so she likes total income but dislikes working). If her target is not achievable, then she just max imizes her utility. If the target level of income is achievable, then she chooses any feasible number of hours that yield at least her target income. Formulate the model by doing the following (warning: (i) and (ii) require care): (i) Specify the choice domain. (ii) Write the agent’s menu when the hourly rate is w. (iii) Determine the agent’s choice from menus corresponding to wages $22/hr and $50/hr respectively.2 (iv) Point out how the choices relate to the finding in the study.Joe Fixit has an appliance-repair business. He has more business than hecan handle and wants to hire another repair person. Joe estimates thatthree appliances can be repaired each hour by a qualified person. Joe billsout labor at $45 per hour, but he stipulates that the minimum charge forappliance-repair estimates is $30 plus parts. What is the marginal revenueproduct of a qualified repair person? What is the maximum hourly wagethat he would pay an employee?
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- In a recently opened shopping mall, Jagdeep sells handmade coffee mugs in a booth for $25 each and has calculated that he needs to sell 200 mugs to break even. Calculate his total variable costs to break even if his fixed costs are $2400? Which of the following answers is correct?James Shaw owns several shaved ice stands that operate in the summer along the Outer Banks of North Carolina. His contribution margin ratio is 60%. If James increases his sales revenue by $25,000 without any increase in fixed costs, by how much will his operating income increase? $25,000 $15,000 $10,000 $5,000Craig owns border manufacturaing, making and selling hubs for 24$ a hub. His fixed costs are 1250 and his variable expenses are 10 a hub. How much does it cost him to make 24 hubs?