answer the questions based on the graph. thoroughly

Above, the consumer's budget constraint is drawn using income I and prices PX1 and PY1. 1. Algebraically, describe the slopes of the budget constraint and i1 at point E1. Find the quantities of X and Y the consumer will purchase at the equilibrium, E1. 2. PX1 declines to PX2. Adjust the budget constraint so the new equilibrium E2 is located on i2. File Preview 3. Using price and quantity information from E1 and E2, derive the cousumict s demand curve for product X. 4. Find the income and substitution effects of this price change. Recall that the substitution effect is measured as the change in QX along the original indifference curve i1, and occurs as the consumer switches his/her purchases to the relatively cheaper good. Draw a new reference budget constraint that is tangent to i1, but reflects the new ratio of prices, (PX2PY1). The income effect is measured as the change in Qx from the original indifference curve i1 to the new Qx2 on 12. This change occurs as the consumer's real income (purchasing power) increases because the price of good X declined. Consumer's Equilibrium: Changes to Budget Constraint Qy - Px= Pivot Ontward hodizontally - Substitution Effect: Qx1ax3}Qx - Derived Demand Curve : - (MRS=MUyMUx)=PyPx