Economic Question - Indifference Curve

Question One:

(Indifferent curve, budget line, income effect & substitution effect) Question

Part 1. Annie has an income of $120 an hour, popcorn cost $6 a bag, and cost $5 a six pack cola.

a.       Draw a graph of Annie’s budget line (with six pack of cola on the x-axis and popcorn on the y axis)?

b.      If we know that Annie maximizes her utility with the purchase of 10 bags of popcorn, how many six pack cola will she purchase? (by calculating an estimate from a graph), draw an indifference curve reflecting this optimum.

Part B. If annie’s hourly income income remains $120. The price of cola drops to $2.5 a six pack of can, while the price of popcorn remains at $6 a bag.

a.       Draw the new budget line (with six pack of cola on the x-axis and popcorn on the y axis) and use the indifference curve to identify the change in quantity purchased and illustrate the income and substitution effects.

(Please provide the steps a long with answers)