Question

40. The labour cost to construct the first unit of a special piece of equipment was $126,000. If labour costs are subject to a 90% learning curve, what will be the cost to build the second unit? Use the following values as needed to respond In(95%) / ln(2)s-0074 In(90%) /ln(2) =-0.152 In(8596) / ln(2) =-0.234 In(80%) / In(2) =-0.322 n(75%)/In(2) =-0.415 In(70%)/In(2) -0.515 a) $126,000 b) $113,000 c) $100,800 d) $113,400 Answer: d

Answer 1

40. Average Labor Cost to manufacture two units (y)

y = a * x^b

y = 126000 * 2 ^ - 0.152

y = 126000 * 0.9

Cost of Second Unit = $113400 Option d

41.

Average Learning Curve for the second unit =100% - [ (100 % - 85%) / 2 ] = $92.50%

Average Cost to manufacture two units (y)

y = a * x^b

y = 75000 * 2 ^ - 0.112

y = 75000 * 0.925

Cost of Second Unit = $69375 Option b

42. Time for second unit = First Unit time * Total Units ^ {Ln(80%)/ Ln(2)]

Time for second unit = 6 * 0.80

Time for second unit = 4.80 Hours Option C

43. Estimated cumulative average time = First Unit time * Total Units ^ ln(90%)/ln(2)

Estimated cumulative average time = 10 * 4 ^ -0.152

Estimated cumulative average time = 10 * 0.81

Estimated cumulative average time = 8.1 Hours Option A

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