$Q_x^d=6,000-(\frac{1}{2})Px-PY+9PZ+(\frac{1}{10})M$

Research shows that the prices of related goods are given by $P_y=$$$6,500$ and $P_z=$$$100,$ while the average income of individuals consuming this product is $M=$$$70,000.$

a$.$ Indicate whether goods $Y$ and $Z$ are substitutes or complements for good $x.$

Good $Y$ is:

Good Z is:

b$.$ Is $x$ an inferior or a normal good?

Good X is:

c$.$ How many units of good $x$ will be purchased when $P_x=$$$5,230?$

d$.$ Determine the demand function and inverse demand function for good $x.$ Graph the demand curve for good $x.$

Instruction: Enter all values as integers, or if needed, a decimal rounded to one decimal place.

Demandfunction:

Inverse demand function: $P{x}_x=$

Instruction: Use the tool provided $\text{'}D\text{'}$ to graph the inverse demand curve from $Q_x=0$ to $Q_x=6,000($two points total$).$