Q$3.$ P manufacturing company produces tires for the automotive industry. It manufactures $1200$ tires daily, and the percentage of saleable tires equals $75\%.$ Also, the company can rework per cent $30$ of the poorquality products. The company spends $40$ USD per product on manufacturing, and the cost of rework is $22$ USD per reworked product. When we check the company's three sub$-$manufacturing processes, the average percentage of good quality are: for Step $10,85$ ; Step $20,75$ ; Step $30,80.$

a$)$ Please compute the yield of the company and comment on it

b$)$ Please compute the actual product cost

c$)$ Please identify the real input value of the company by considering the sub$-$production processes.

d$)$ Please compute the quality$-$productivity ratio $($QPR$).$ Also, will the QPR coefficient change if we increase the production capacity to $3000$ tires daily?