# Answered Essay: Today, your paint line must produce 4550 gallons of beige paint. Your four step manufacturing process

Step 1: 0.4%

Step 2: 1.6%

Step 3: 1.8%

Step 4: 1.0%

How many gallons of paint must you start with to have 4550 gallons of point that can be sold?

For the production process with n stages or steps, the overall yield is given as follows:

Y = I (%g1) (%g2) (%g3)… (%gn)

I = input of items to the starting step of the production process

gi = percentage or proportion of goods quality and work-in-process products or outputs at stage i.

To determine the input items (I) required for achieving target yield (Y) is given as:

I = Y/[(%g1) (%g2) (%g3)… (%gn)]

 Step % scrap % of Good output 1 0.4% 99.96 % 2 1.6% 98.4 % 3 1.8% 98.2 % 4 1.0% 99 %

Y = 4550

I = 4550/[0.9996 x 0.984 x 0.982 x 0.99]

I = 4550/0.9528

I = 4775.41

Input of 4775.4 gallons of paint will required for 4550 gallons of output.

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