looking for homework help thank yoU!

A consumer has an income of $150 and they face the following prices: PX=$5 and Py=$7.50 The consumer prefers good Y twice as much as good X. 1. Write the consumers utility function that represents their preferences: U(X,Y) = 2. Using the information available, calculate the consumer's optimal consumption bundle. o X*= units Y*= units 0 The consumer's total utility is U(X,Y) = 3. If the price of good X is now PX = $3 and Py=$7.50, calculate the consumer's optimal consumption bundle. 0 X* = units Y* = units 0 The consumer's total utility is U(X,Y)=