Formaldehyde is one of the most studied and well-understood chemicals in use today. It is used in various building materials and household products. It is a simple chemical compound produced by the oxidation of methanol. It is reported that formaldehyde market size is projected to exceed $28.58 billion by 2027. Currently, the inventory of formaldehyde, which available or accumulated in the warehouse, I is 9,000 kg. Based on the orders on hand, the following weekly output demand (D), for the next six weeks is recorded: t (week) 1 2 3 4 5 6 D (kg/week) 503 633 797 1004 1260 1590 Use the data given to determine a linear equation, which represent the output demand of the formaldehyde over the weeks. Write the unsteady state differential balance equation of the accumulated formaldehyde (dl/dt), considering the output demand. If the demand continues to follow the projected trend, determine the week when the accumulated formaldehyde in the warehouse has reached its maximum production of around 5,000 kg. Give your recommendation on how to maintain such a high value of the production