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Question 1: Costs and Production Suppose that Maria is starting a food ordering and delivery company. Customers order meals online. Employees prepare the meals and
Question 1: Costs and Production | ||||||||||||||||
Suppose that Maria is starting a food ordering and delivery company. | ||||||||||||||||
Customers order meals online. Employees prepare the meals and deliver them to customers. | ||||||||||||||||
Maintenance of the online platform for ordering meals costs the company $5 per day. | ||||||||||||||||
The company also rents space where orders are prepared. Rent costs $50 per day. | ||||||||||||||||
To make the deliveries, the business also rents two delivery cars that cost $10 each per day. | ||||||||||||||||
The costs of ingredients for preparing different numbers of meals are provided in the table below. | ||||||||||||||||
Maria also has to hire between 0 and 10 workers (depending on the number of meals she chooses to make) to buy ingredients, prepare meals, and deliver the orders. | ||||||||||||||||
She will pay each employee $120 per day . | ||||||||||||||||
The first two columns of the table below show how many meals different number of workers can prepare and deliver. | ||||||||||||||||
Workers (Labor L) | Meals (Output Q) | MPL | FC | Cost of ingredients | VC | TC | AFC | AVC | ATC | MC | TR | Profit | Profit per meal | |||
0 | 0 | - | $10 | |||||||||||||
1 | 30 | $75 | ||||||||||||||
2 | 42 | $100 | ||||||||||||||
3 | 52 | $121 | ||||||||||||||
4 | 60 | $138 | ||||||||||||||
5 | 67 | $152 | ||||||||||||||
6 | 73 | $165 | ||||||||||||||
7 | 79 | $177 | ||||||||||||||
8 | 85 | $189 | ||||||||||||||
9 | 90 | $199 | ||||||||||||||
10 | 95 | $210 | ||||||||||||||
a) Use Excel Charts to graph this business' production function (relationship between L and Q). | ||||||||||||||||
Hint: Select the data that you would like to be included, and go to Insert/ Chart => All charts => Select "Line". | ||||||||||||||||
b) Use Excel functions to find the marginal product of labor (MPL) and enter it into the third column of the table. | ||||||||||||||||
Note: MPL = change in Q/ change in L | ||||||||||||||||
Answer: | In the table above. | |||||||||||||||
c) Graph MPL as a function of the number of workers Maria hires. | ||||||||||||||||
d) Use Excel functions to complete the table by calculating FC, VC, TC, MC, AFC, AVC, TR, Profit, and Profit per meal for each level of output (number of meals). | ||||||||||||||||
Answer: | In the table above. | |||||||||||||||
e) Suppose that Maria charges $50 per order and delivery. | ||||||||||||||||
What is the maximum profit Maria could earn? How many meals does the business have to deliver to earn the highest possible profit? | ||||||||||||||||
Answer: | Max profit: | at | Q (#meals): | |||||||||||||
f) What is the shut-down price of Maria's business? Use Excel functions to answer the question. | ||||||||||||||||
Answer: | Shut-down price: | (minimum of AVC) | ||||||||||||||
g) What is the break-even price of Maria's business? Use Excel functions to answer the question. | ||||||||||||||||
Answer: | Break-even price: | (minimum of ATC) | ||||||||||||||
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