Assume that GDP (Y) is 5,000. Consumption (C) is given by the equation C = 1,000 + 0.3(Y – T). Investment (I) is given by the equation I = 1,500 – 50r, where r is the real interest rate, in percent. Taxes (T) are 1,000, and government spending (G) is 1,500. a. What are the equilibrium values of C, I, and r? b. What are the values of private saving, public saving, and national saving? c. Now assume there is a technological innovation that makes business want to invest more. It raises the investment equation to I = 2,000 – 50r. What are the new equilibrium values of C, I, and r? d. What are the new values of private saving, public saving, and national saving?

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?