Solve the attached questions
) Determine the inverse demand function. 0) Determine the vertical intercept of the inverse demand function. )Determine the horizontal intercept of the inverse demand function. d) Determine the slope of the inverse demand function. 2) Draw the consumer's inverse demand curve in Figure 1 provided in the answer booklet. Determine the market demand curve if there are 1000 consumers with the demand function Q = 40 - 5P 2) The demand functions for consumers 1, 2, and 3 are respectively Q1 = 60 - P, Q2 = 80 - 2P, and Q3 = 80 4P ) Determine the inverse demand function for each consumer. 0) Determine the vertical intercept for each inverse demand function. Determine the horizontal intercept for each inverse function. d) Determine the slope for each inverse demand function. 2) Determine the market demand curve. Draw the inverse market demand curve in Figure 2 provided in the answer booklet. 8) A consumer's demand function for good x is Qx = 8 - Px - Py/2 + 1/100 with Ox representing the quantity demand for good x, Px the price for good x, Py the price for good y, and I the consumer's income. ) Draw the inverse demand curve in Figure 3 provided in the answer booklet if Py = 2 and I = 100. 0) Draw the inverse demand curve in Figure 3 provided in the answer booklet if Py increases from 2 to 4 and I = 100. () Draw the inverse demand curve in Figure 3 provided in the answer booklet if I increases from 100 to 200 and Py = 2 1) A consumer's demand function for good x is @x = 50 - Px + 3Py/2 - Pz + 1/125 with Qx representing the quantity demand for good x, Px the price for good x, Py the price for good y, Pz the price for good z, and I the consumer's income.R.PI, Inc. Income Statement For the Year Endal 1231/2019 Question 5 (20 marks) Sales fall credit 5740.030 Los: Cost of goods cold RPI, Inc. is a manufacturer and retailer of high-quality sports clothing and gear. The firm was Gross profits started several years ago by a group of serious outdoor enthusiasts who fell there was a need Less: Operating and intered expenses for a firm that could provide quality products at reasonable prices, The result was RPI. Inc. General and administrative Since its inception, the firm has been profitable with sales that last year totaled $700,000 and Depreciation assets in excess of 5400,000. The firm now finds its growing sales outstrip its ability to Total finance its inventory needs. The firm now estimates that it will need a line of credit of Profit before Interest and taxes (EBIT) $100,000 during the coming year. To finance this funding requirement, the management Lew: Inand plans to seek a line of credit with its bank. Profit before taxes $110,100 Lew: Taxes 27.100 The firm's most recent financial statements were provided to its bank as support for the Net income available firm's loan request. Joanne Peebie, a loan analyst traince for the Morristown Bank and Trust, to common stockholders 5:2 900 has been assigned the task of analyzing the firm's loan request. Lew: Cash dividenda RPI, Inc. Balance Sheets Change in retained earnings $51,100 for 12/31/18 and 12/31/19 JO18 2019 Cash $16.030 $17,000 Marketable securities 7.00.0 7,200 Accounts receivable 42,000 38,000 Inventory 50.000 93.000 Prepaid rent 1.20:0 L.LOO Total current assets $116.200 $156 300 Net plant and equipment 286.000 290.0.00 Total assets $402 20 0 Limbifities ood Stockholders Equity Accounts payable $48.000 $55.000 Notes payable 16.000 13,000 Accruals 6.004 5.000 Total current liabilities $70.00-0 $73.0100 Long-term debt $160.000 $1502000 Common stockholders* equity $ 172. 20.0 $221300 Total liabilities and equity 5402.200 $463mA 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
