We produce our radar sensors for autonomous vehicles in two different plants, and I would like you to think about optimal production levels in our multi-plant production scheme to maximize our profits. Our first plant has the following weekly cost structure: C1(Q1)= 20,000 + 0.5Q12 and our second plant has the following weekly cost structure: C2(Q2) = 40,000 + 0.25Q22. Furthermore, our sales team has informed me that our weekly inverse demand function takes the following form: P(Q) = 500 - 0.5Q.
Give me a recommendation on what weekly production levels should be in each plant, and also recommend a price point for us to hit our sales target. Finally, let me know what our forecasted profits will be if we follow your production and pricing advice.

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.

The owner of firewood to go is considering buying a hydraulic wood splitter which sells for $50,000. he figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. if, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is expected to be 32 cords per day, what would be its efficiency?

Aprimary advantage of organizing economic activity within firms is thea. ability to coordinate highly complex tasks to allow for specialized division of labor. b. low administrative costs because of reduced bureaucracy. c. eradication of the principal-agent problem. d. high-powered incentive to work as salaried employees for an existing firm.