A city funds its public good provision solely from voluntary contributions from its two residents, Mr. A and Mrs. B. The total amount of spending on public good is equal to the sum of private contributions on public good, gA and gB, divided by the marginal cost of public good: G = (gA + gB)/c. Assume that the marginal cost of producing public good is equal to 1 unit of income and thus we can simplify the formula for the total level of public good spending to just the sum of individual voluntary contributions: G = gA + gB. It is known, from the income tax records, that A's income is mA = 100, B's income is mB = 1000. Each of the two residents has a unitality function that shows preferences over a public good, G, and a private good, z: U(zA, G) =0.3ln(zA) + 0.7ln(G) and U(zB, G) = 0.8 ln(zB) + 0.2ln(G). We can express A's utility function as the following function of two variables only, gA and gB: UA = 0.3ln(100 - gA) + 0.7ln(gA + gB). Is it true or false? True False