Stage Average percentage of good quality $183$ percent $288$ percent $385$ percent $490$ percent $592$ percent $687$ percent The cabinets are produced in weekly production runs with a product input for $400$ units. The Colonial House Furniture Company has investigated the manufacturing process to identify potential improvements that would improve quality. The company has identified four alternatives, each costing $$15,000,$ as follows. Alternative $1$: Only Stage $1$ quality improves to $85$ percent. Alternative $2$: Stage $2$ quality improves to $91$ percent and Stage $4$ quality improves to $91$ percent. All the other quality percentages remain the same as the current situation. Alternative $3$: Stage $5$ quality improves to $88$ percent and Stage $4$ quality improves to $94$ percent. All the other quality percentages remain the same as the current situation. Alternative $4$: Only Stage $2$ quality improves to $94$ percent. What is the yield if the company chooses to go with Alternative $1?$ What is the yield if the company chooses to go with Alternative $2?$ What is the yield if the company chooses to go with Alternative $3?$ What is the yield if the company chooses to go with Alternative $4?$ Which alternative would be the most cost effective?