Steven Starr has an idea for a desert he is preparing to sell via food truck for restaurant week- grilled bananas with Belgian chocolate ganache. The bananas go through a 4-step process consisting of pealing, filling, grilling, and the last 2 steps are performed simultaneously- splashing and wrapping. Pealing takes 1 minute, filling takes 2 minutes and grilling takes 5 minutes. Splashing takes 3 minute and wrapping takes 3 minutes. a. The bottleneck of the process is , with an hourly capacity of .

a) grilling

b) 12 grilling process per hour

Step-by-step explanation:

the bottleneck in this process is grilling, which slows down production by taking a considerable amount of time.

Grilling takes 5 minutes, which is the longest of any other stage of process

In one hour there are 60 minutes

The hourly rate of grilling is therefore 60/5 = 12 grilling process per hour

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560