Answer the attached questions.
A restaurant faces very high demand for its signature mousse desserts in the evening but is less busy during the day. Its manager estimates that inverse demand functions are pe = 30 - Qe in the evening and pd = 16 -Qd during the day, where e and d denote evening and daytime. The marginal cost of producing its dessert evening, MCe, is $8. The marginal cost of producing its dessert daytime, MCd, is $4. There is no fixed cost of producing dessert. Create a spreadsheet with the column headings Qe, Pe, TRe, MRe, TCe, MCe, ne, Qd, Pd, TRd, MRd, TCd, MCd, and nd. (note: ne is profit evening and nd indicates profit daytime) a. What are the optimal prices for the dessert that the restaurant should charge during the evening hours? b. What is the optimal quantity for the dessert that the restaurant should produce during the evening hours? c. What is the total cost of producing the optimal quantity for the dessert during the evening hours? d. What is the maximum profit for the dessert that the restaurant should produce during the evening hours? e. What are the optimal prices for the dessert that the restaurant should charge during the daytime hours? f. What is the optimal quantity for the dessert that the restaurant should produce during the daytime hours? I g. What is the total cost of producing the optimal quantity for the dessert during the daytime hours? h. What is the maximum profit for the dessert that the restaurant should produce during the daytime hours?You may need to use the appropriate appendix table or technology to answer the question. Last year, 43:4 of business owners gave a holiday gift to their employees. A survey of business owners conducted thes plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of do business owners. (2) How many business owners in the survey plan to provide a holiday gift to their employees this year? * business owners (6) Suppose the business owners in the sample did as they plan. Compute the p-value for a hypothesis test that can be used to determine if the proportion of providing holiday gifts has decreased from last year. Find the value of the test statistic. (Round your answer to two decimal places,) Find the p-value. (Round your answer to four decimal places.) X (c)Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? O Reject:. There is Insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year O Reject Me There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last year, Q Do not reject N.. There is insufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last Year. O Do not reject H. There is sufficient evidence to conclude that the proportion of business owners providing holiday gifts has decreased from last roar What is the smallest level of significance for which you could draw such a conclusion? (Round your answer to four dodmal places.) Need Help? Can(3) You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation: If you both work hard, you get an A, which gives you each 40 units of happiness .If only one of you works hard, you both get a B, which gives you each 30 units of happiness. .If neither of you works hard, you both get a D, which gives each of you 10 units of happiness. . Working hard costs 25 units of happiness. (a) Fill in the following payoff matrix: Your decision Work Shirk Classmate's Work decision Shirk (b) What is the likely outcome? Explain your answer. T (c) If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part (b)
