The cost for supply kits for a healthcare clinic is the sum of the supply kit cost, ordering cost, and inventory holding cost for the entire year. It is summarized by the following cost function for every possible batch size, q, it can break up its year's worth of orders into: 180000 c(q) = 20000 + 24 + What is the optimal order batch size, the one that minimizes annual cost? Enter an integer only

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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
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The cost for supply kits for a healthcare clinic is the sum of the supply kit cost, ordering cost, and
inventory holding cost for the entire year. It is summarized by the following cost function for every
possible batch size, q, it can break up its year's worth of orders into:
c(4) = 20000 + 24 +
180000
What is the optimal order batch size, the one that minimizes annual cost?
Enter an integer only
D
Question 8
At UTC mall in San Diego, monthly sales for the Tesla Model S obeys a normal distribution with
mean of 200 cars and a standard deviation of 100 cars. What is the probability that this location
sells more than 800 cars during the next quarter (i.e., 3 months) assuming monthly sales are
independent?
Transcribed Image Text:The cost for supply kits for a healthcare clinic is the sum of the supply kit cost, ordering cost, and inventory holding cost for the entire year. It is summarized by the following cost function for every possible batch size, q, it can break up its year's worth of orders into: c(4) = 20000 + 24 + 180000 What is the optimal order batch size, the one that minimizes annual cost? Enter an integer only D Question 8 At UTC mall in San Diego, monthly sales for the Tesla Model S obeys a normal distribution with mean of 200 cars and a standard deviation of 100 cars. What is the probability that this location sells more than 800 cars during the next quarter (i.e., 3 months) assuming monthly sales are independent?
A small venture capitalist (VC) is hoping to make a big hit investment. The process it follows is
described:
1. It chooses a startup company in which to invest.
2. The outcome of the startup company is revealed. Specifically:
o There is a 50% chance of it failing after 1 year
• There is a 25% chance of it failing after 4 years
o There is a 25% chance of it becoming a big hit after 5 years
3. If the outcome is a failure, the VC invests in another startup and starts the process over. If the
outcome is a big hit, the process ends.
What is the expected number of years until the VC finally has one of its investments turn into a big
hit?
Enter an integer only
Transcribed Image Text:A small venture capitalist (VC) is hoping to make a big hit investment. The process it follows is described: 1. It chooses a startup company in which to invest. 2. The outcome of the startup company is revealed. Specifically: o There is a 50% chance of it failing after 1 year • There is a 25% chance of it failing after 4 years o There is a 25% chance of it becoming a big hit after 5 years 3. If the outcome is a failure, the VC invests in another startup and starts the process over. If the outcome is a big hit, the process ends. What is the expected number of years until the VC finally has one of its investments turn into a big hit? Enter an integer only
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