#$8)(5$ Marks$)$ XYZ Corporation is a manufacturing company that makes drinks. One of the additives to their Drink #$1$ is 'Secret Ingredient X$.\text{'}$ Each gram of 'Secret Ingredient X$\text{'}$ costs $$4.$ Each Drink $$1$ manufactured by XYZ Corporation requires three grams of 'Secret Ingredient $x.\text{'}$

In order to reduce the risk of not having sufficient 'Secret Ingredient $x\text{'}$ on hand, the company desires an ending inventory for this input equal to $20\%$ of the next month's production needs. Some $36,000$ grams of 'Secret Ingredient $x^{\text{'}}$ are on hand at the beginning of the period.

$\backslash$table$[[$Udatod Production Volum,Jan,Feb,Mar,Apr$],[,60,000,50,000,85,000,100,000]]$

Prepare a materials purchase budget for 'Secret Ingredient X$\text{'}$ for the months of Jan, Feb, and Mar. Also compute the $ cost of 'Secret Ingredient X$\text{'}$ based on the purchases for each month.