Hello can somebody help me with this exercise and explain it step by step. Please.

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92 The international hamburger chain known colloquially as Maklers has recently opened a franchise in Moscow. There has i n litle experience with such estab lishments in Moscow and so there is considerable uncertainty about the optimal price for hamburgers and the optimal advertising expenditure. During the first 20 weeks of its operation, the Moscow Makkers experimented with alternative prices for its hamburgers and with the level ofadvertising expenditure, and col- lected the data on number of hamburgers sold, price, and advertising expendi- ture given in Table 95. Maklers'economist decided to model the quantity of 31 PARTH GENERAL LINKAR STATISTICAL MODEL hamburgers sold (y) as the following function of price in rubles p) and the level CHAPTER 9 A GENERAL LINEAR STATISTICAL MODEL 315 of advertising expenditure in hundreds of rubles (a). 6.- ... +3,4, +$.'+e, (n) What quantities appear in y and x when this model is written in the matrix algebra notation y = XB+e? (b) The coefficient shows the response of quantity of hamburgers sold to change in price. It is given by the partial derivative dylop. Similarly, the the partial derivative delda. However, in this case the response is not advertising. Specifically, response of quantity to a change in advertising expenditure is given by simply equal to a constant coefficient but depends on a, the level of YB. +23.4 What signs do you expect for the parameters B. B. and ? (c) Find least squares for B. B. A. and B. Report these estimates and their standard errors in the conventional way. Do the signs of your estimates agree with your expectations? (d) Suppose that the average cost of producing hamburgers is 1 ruble and that this cost is constant (does not depend on number of hamburgers sold). Makkers' weekly profit from hamburger sales is given by profit - py-o-1000 The term 10a arises because advertising expenditure is measured in hundreds of rubles. Use your estimated demand function to write profit as a function of p and a only . le) Find the profit-maximizing price of hamburgers when advertising expen- diture is 280 rubles. (int: Make use of the equation obtained by setting the partial derivative d profit) op equal to zero. The way in which partial derivations are used for obtaining maximizing values is considered in Table 9.5 Number of Hamburgers, Price, and Advertising Expenditure for Moscow Makkers Weck Hamburgers Price Advertising (rubles) Chundreds of rubles) 425 4.92 4.79 462 5.50 3.61 3.54 5.40 5.11 2.78 105 5.62 5.74 515 5.24 1.34 4.15 402 413 3.39 10 5.72 561 3.74 4.57 02 3.59 12 5.67 5.19 5.92 3.27 5.97 15 5.59 4.69 45 550 3.79 17 4.29 I 400 2.71 19 41 50 2.21 5 4.6 1.97 Appendix 10A.) (0) Find the profit-maximizing level of advertising expenditure when the price of hamburgers is 5 rubles. (Hint: Make use of the equation obtained by setting the partial derivative d profit)'da equal to zero. (g) Find the optimal p when a = 2.13. Find the optimal a when p = 5:32. What settings for p and a do you think Makkers' economist will recommend