Marvel Pence, CEO of Marvel$$s Renovations, a custom building and repair company, is preparing documentation for a line of credit request from his commercial banker. Among the required documents is a detailed sales forecast for parts of $2020$ and $2021$:

Sales

Labor and Raw Materials

May, $2020$

$$75,000$

$$80,000$

June, $2020$

$$115,000$

$$75,000$

July, $2020$

$$145,000$

$$105,000$

August, $2020$

$$125,000$

$$85,000$

September, $2020$

$$120,000$

$$65,000$

October, $2020$

$$95,000$

$$70,000$

November, $2020$

$$75,000$

$$30,000$

December, $2020$

$$55,000$

$$35,000$

January, $2021$

$$45,000$

N$/$A

Estimates obtained from the credit and collection department are as follows: collections within the month of sale, $20\%$; collections during the month following the sale, $60\%$; collections the second month following the sale, $25\%.$ Payments for labor and raw materials are typically made during the month following the one in which these costs were incurred. Total costs for labor and raw materials are estimated for each month as shown in the table. General and administrative salaries will amount to approximately $$25,000$ a month; lease payments under long$-$term lease contracts will be $$7,000$ a month; depreciation charges will be $$8,000$ a month; miscellaneous expenses will be $$5,000$ a month; income tax payments of $$30,000$ will be due in both September and December; and a progress payment of $$95,000$ on a new office suite must be paid in October. Cash on hand on July $1$ will amount to $$70,000,$ and a minimum cash balance of $$30,000$ will be maintained throughout the cash budget period.

a$.$ Prepare a monthly cash budget for the last $6$ months of $2020.$

b$.$ Prepare an estimate of the required financing $($or excess funds$)$that is$,$ the amount of money Marvel$$s Renovations will need to borrow $($or will have available to invest$)$for each month during that period.

c$.$ Would the cash budget be accurate if inflows came in all during the month, but outflows were bunched early in the month?

d$.$ If its customers began to pay late, this would slow down collections and thus increase the required loan amount. Also, if sales dropped off, this would have an effect on the required loan. Do a sensitivity analysis that shows the effects of these two factors on the max loan requirement. Assume the purchases of labor and raw material also vary by the sales adjustment factor.