A consumer's utility is given by U(X,Y)=X⁰.²⁵⋅Y⁰.⁷⁵. (To be clear, denotes exponentiation, so the utility function is X to the 0.25 power multiplied by Y to the 0.75 power.) Given this utility function, MUX​=0.25X−0.75⋅Y0.75, and MUY​=0.75X⁰.²⁵⋅Y⁻⁰.²⁵. (You might recognize this as a Cobb-Douglas utility function as discussed in our Lecture 3 handout with A=1, α=0.25, and β=0.75.) The consumer's income is $200, Pₓ = $5, and Pᵧ = $2. What is the number of units of good X in the consumer's utility-maximizing bundle of goods?