ITPEC IP October 2020 Question 72
Product X is manufactured under the conditions described below. When the yield of Component Y and Component Z is as shown in the table below, what is the required raw material input amount A of Component Y in kilograms for manufacturing 300 units of Product X? Here, the yield of Product X is 100%, and all components are newly manufactured.
Explanation
1,000 kg — the good Components Y needed, divided by the 90% yield.
- •Components Y needed: 300 × 3 = 900 units, all newly made
- •With a 90% yield: A × 0.9 = 900, so A = 900 ÷ 0.9 = 1,000 kg (1 kg makes 1 unit before losses)
- •The Z row checks the method: 600 × 0.5 = 300 good units, exactly one per product X
Answer (d)
Why not others:
- •(a) 225 and (b) 250 — at 90% they make only 202.5 and 225 good units of Y, far short of 900; they would not cover even 300 units of Y, one per product
- •(c) 900 — the number of good units of Y required, which forgets that 10% of the input is lost to the yield
Key rule: Input needed = good output required ÷ yield; multiplying by the yield instead gives the output of a given input.
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