Chapter 9.CRE, Problem 30CRE

OPTIMIZING DEMAND The management of a divison of National Motor Corporation that produces compact and subcompact cars has estimated that the quantity demanded of their compact models is $1500\text{units}/\text{week}$ if the price of oil increases at a higher than normal rate, whereas the quantity demanded of their subcompact models is $2500\text{units}/\text{week}$ under similar conditions. However, the quantity demanded of their compact models and subcompact models is $3000\text{units}$ and $2000\text{units}/\text{week}$, respectively, if the price of oil increases at a normal rate. Determine the percentages of compact and subcompact cars the division should plan to manufacture to maximize the expected number of cars demanded each week.