$5.$ May Lin has income of RM $3,000.$ Orange juice costs RM$3$ a glass, and chicken rice costs RM $6$ a plate. Referring to this statement, answer the following questions:a$)$ Draw the budget constraint of Ma y Lin. What is the slope of her budget constraint?b$)$ Draw a May Lins indifference curve for orange juice and chicken rice. Describe and explain four properties of these indifference curves.c$)$ Pick a point on an indifference curve for orange juice and chicken rice and show the marginal rate of substitution $($MRS$).$ what does the MRS of substitution tell us$?$d$)$ Show a May Lins budget constraint and indifference curves for orange juice and chicken rice. Show the optimal consumption choice if the price of orange juice is RM $3$ a glass and the price of chicken rice is RM $6$ a plate and what is the MRS at this optimum?