To avoid the cost of sending out coupons you do not need to, you ask the data science team to plan an experiment just large enough (with just enough statistical power) to reliably detect a treatment effect if the true effect on those who open the mail and realize they have the coupon is a $2 increase in revenue over the next year. the data science team tells you that an experiment with 100,000 people in the treatment group (leaving the remaining 900,000 in the control group) will be well-powered to detect an overall difference between the entire treatment and control groups of $2 in revenue over the next year. to send out the minimum number of coupons required while still having enough statistical power to detect a $2 effect of opening the mail, can you send out fewer, the same number of, or more coupons than 100,000? [5 points]

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.