Consider the following table showing aggregate consumption expenditures and disposable income. All values are expressed in billions of constant dollars.

$\backslash$table$[[\backslash$table$[[$Disposable$],[$Income$],[($YD$)]],\backslash$table$[[$Desired$],[$Consumption$],[($C$)]],\backslash$table$[[$Desired$],[$Savings$],[($S$)]],$APC,MPC$,$APS,MPS$],[0,150,,,,,],[100,225,,,,,],[200,300,,,,,],[300,375,,,,,],[400,450,,,,,],[500,525,,,,,],[600,600,,,,,],[700,675,,,,,],[800,750,,,,,]]$

a$.$ Compute the average propensity to consume for each level of income and fill in the table.

b$.$ Compute the marginal propensity to consume for each successive change in income.

c$.$ Determine the equation for this consumption function.

d$.$ Compute the desired saving at each level of disposable income.

e$.$ Compute the average propensity to save and marginal propensity to save.