(3 p.) Consider a consumer with the following demand function for good : . (a) What is the maximum sum that this consumer is willing to pay for the right to purchase this good at per unit price of 15 rather than 25 ? Provide algebraic solution and

(3 p.) Consider a consumer with the following demand function for good $X$ : $X(p)=\max (0,50-2 p)$. (a) What is the maximum sum that this consumer is willing to pay for the right to purchase this good at per unit price of 15 rather than 25 ? Provide algebraic solution and illustrate by graph. (b) Now, assume that consumer may purchase this good at price of 18 per unit but this offer is valid if he purchases 17 units or more. There are no other options to get the good except this special offer. (i) Can you say unambiguously whether this consumer has enough money to afford a bundle with 17 units at per unit price of 18 ? (ii) Assume that consumer's income is 2000 . Will this consumer choose the special offer (with restriction of 17 on the minimum volume of his bundle) or purchase at current market price of 20 per unit (with no restriction on the quantity purchased)? What would be the resulting quantity purchased? Provide algebraic solution and illustrate by graph. Explain the result.