Chapter 8.6, Problem 27P

To determine

To calculate:

The maximum value of the function U if $x_1\text{ and }{x}_2$ are the goods that a customer bought. The customer’s utility is given by the function $U\left(x_1,x_2\right)=2x_1{x}_2+3x_1$. Customers disposal ability is $\$100$. Also, estimate the increase in optimal utility if the consumer’s disposal income is increased by $\$6$. The unit cost of first good is $\$1$ and unit cost of second good is $\$3$.