Please help to solve this MCQ.

Detailed explanations for each option (why it's correct or wrong) are required.

Thanks!

8. An economy has two kinds of consumers. Type A consumers have utility function U A(x1,x2) = 4x1 x5 + x2 and Type B consumers have utility function 2 U3(x1,x2) = 2x1 %+x2. The price of good 2 is 1 and all consumers have incomes of 100. There are 100 type A consumers and 100 type B consumers. Suppose that a monopolist can produce good 1 at a constant cost of c per unit and he cannot engage in price discrimination. For which of the following values of c will the monopolist choose to sell both types of consumers? a) 1.2 b) 0.8 c) 2.5 d) The monopolist will never choose to sell to both consumers