The production manager of an electronic company obtained the following

1.	The production manager of an electronic company obtained the following equation for the learning effect y = 1356 x-0.3219. The function is based on the company experience for assembling the first 50 units of the product. The company was asked to bid a new order of 100 additional units. Find the labour hours required to assemble 100 units.
Answer» Given y = 1356 x^-0.3219 Let 50 units = 1 lot y = 1356(2)^-0.3219 ∴ 100 units = 2 lots = x log y = log 1356 -0.3219 log 2 = 3.1322 – 0.3219 (0.3010) = 3.1322 – 0.0969 = 3.0353. y = A.L (3.0353) = 1085.00 hours /lot ∴ The total no. of labour hours required to assemble 2 lots (100 units) = 1085 2 = 2170 hours.

The production manager of an electronic company obtained the following equation for the learning effect y = 1356 x-0.3219. The function is based on the company experience for assembling the first 50 units of the product. The company was asked to bid a new order of 100 additional units. Find the labour hours required to assemble 100 units.

Answer»

Given y = 1356 x^-0.3219

Let 50 units = 1 lot y = 1356(2)^-0.3219

∴ 100 units = 2 lots = x

log y = log 1356 -0.3219 log 2

= 3.1322 – 0.3219 (0.3010) = 3.1322 – 0.0969 = 3.0353.

y = A.L (3.0353) = 1085.00 hours /lot

∴ The total no. of labour hours required to assemble 2 lots (100 units) = 1085 2

= 2170 hours.