Answer to Question #157339 in Statistics and Probability for izzah XV

Question

4. The first product took 10 hours to build and the learning curve is estimated to be 90%. How long will it take to make the eighth unit?

T_N = T₁C

5. The first unit of production took 10 hours with a 90% learning curve. How long will it take to complete both the first and second units?

T_N = T₁C

Answer 1

$T_1\times L^n=T_n,$ time required for the nth unit

where $T_1=$ unit time of the first unit

$L=$ learning curve raten

$n=$ number of times T is doubled

4.

Hours required for unit 8 $=10\times(0.9)^3=7.29$ hours.

5.

Hours required for unit 2 $=10\times(0.9)^1=9$ hours.

$10$ hours $+9$ hours$=19$ hours

It takes 19 hours to complete both the first and second units.