(a) Solve the consumer’s problem for a consumer with the utility function U

(b,

c, s) = 8 ln(b + 2) + 6 ln(c + 1) + 2 ln(2s + 1), if the prices are pb = $1, pc = $2, and ps = $4, and the consumer has $18 to spend.

(b) Solve the consumer’s problem for a consumer with the utility function U

(b,

c, s) = 8 ln(b + 2) + 6 ln(c + 1) + 2 ln(2s + 1), if the prices are pb = $1, pc = $2, and ps = $4, and the consumer has $6.50 to spend.

(c) Solve the consumer’s problem for a consumer with the utility function u

(b,

c, s,m) = 8 ln(b + 2) + 6 ln(c + 1) + 2 ln(2s + 1) + m, where m is money left over, if the prices are pb = $1, pc = $2, and ps = $4, and the consumer has $50 to spend. What if the consumer has $500 to spend? What if the consumer has

$18 to spend? What if the consumer has $6.50 to spend?