A phone case manufacturer produces two types of cases for the most recently

launched phone in the market. The phone company has agreed to buy the

cases for next $6$ months. The case manufacturer now has tasked their

operations manager to identify the number of cases to produce per week to

achieve maximum revenue. When sold to the phone manufacturer, case type

A has a selling price of $6$ dollars a piece and case type B sells for $8$ dollars a

piece.