QUESTION B

An ice-cream vendor on the beachfront knows from long experience that the average rate of ice-cream sales is 12 per hour. If, with two hours to go at work, she finds herself with only five ice-creams in stock, what are the probabilities that (a) She runs out before the end of the day; (b) She sells exactly what she has in stock by the end of the day without any excess demand after she sells the last one; and (c) She doesn't sell any?

When four identical light bulbs are connected in parallel and this combination is connected to an ideal battery, the bulbs each glow with a certain brightness until the battery runs down after six hours. [Recall that an ideal battery is one with no internal resistance.] If two of the light bulbs are removed so that there are just two light bulbs in parallel and then this combination is connected to a new (but otherwise identical) battery, Question 6 options:

the remaining two bulbs will each glow with the same brightness as each bulb did before and the battery will last for six hours.

the remaining two bulbs will each glow more brightly than each bulb did before and the battery will still last for six hours.

the remaining two bulbs will each glow more dimly than each bulb did before and the battery will last for twelve hours.

the remaining two bulbs will each glow with the same brightness as each bulb did before and the battery will last for twelve hours.

the remaining two bulbs will each glow more dimly than each bulb did before and the battery will last for 24 hours.

the remaining two bulbs will each glow more brightly than each bulb did before and the battery will last for three hours.

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Process	Activity	Overhead cost			Driver	Quantity
Department 1	Mixing	$	5,300		Machine hours	1,700
	Cooking		10,000		Machine hours	1,700
	Product testing		113,300		Batches	550
		$	128,600
Department 2	Machine calibration	$	290,000		Production runs	800
	Labeling		16,000		Cases of output	130,000
	Defects		10,000		Cases of output	130,000
		$	316,000
Support	Recipe formulation	$	98,000		Focus groups	50
	Heat, lights, and water		34,000		Machine hours	1,700
	Materials handling		73,000		Container types	10
		$	205,000

Additional production information about its two product lines follows.

	Extra Fine		Family Style
Units produced	28,000	cases	102,000	cases
Batches	280	batches	270	batches
Machine hours	650	MH	1,050	MH
Focus groups	20	groups	30	groups
Container types	7	containers	3	containers
Production runs	280	runs	520	runs

rev: 06_09_2018_QC_CS-128873

Required:
1. Using a plantwide overhead rate based on cases, compute the overhead cost that is assigned to each case of Extra Fine Salsa and each case of Family Style Salsa.
2. Using the plantwide overhead rate, determine the total cost per case for the two products if the direct materials and direct labor cost is $4 per case of Extra Fine and $3 per case of Family Style.
3.a. If the market price of Extra Fine Salsa is $13 per case and the market price of Family Style Salsa is $7 per case, determine the gross profit per case for each product.
3.b. What might management conclude about the Family Style Salsa product line?
4. Using ABC, compute the total cost per case for each product type if the direct labor and direct materials cost is $4 per case of Extra Fine and $3 per case of Family Style. (Round your intermediate calculations to 2 decimal places. Round "Activity Rate" and "Overhead cost per unit" answers to 2 decimal places.)
5. If the market price is $13 per case of Extra Fine and $7 per case of Family Style, determine the gross profit per case for each product. (Round your intermediate calculations and final answers to 2 decimal places.)

Consider a fractional 2^5-2 design. The following runs were performed: de, ae, b, abd, cd, ac, bce, abcde.

a) Find the design generators.

b) Write the complete defining relation for this design.

c) Write the full alias structure for this design.

d) Suppose you have to perform the runs in two blocks. Propose a good block generator

and indicate why it’s good.

e) Which runs will go in which block if you use the generator from (d)?

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Process	Activity	Overhead cost			Driver	Quantity
Department 1	Mixing	$	5,600		Machine hours	2,000
	Cooking		11,200		Machine hours	2,000
	Product testing		113,600		Batches	800
		$	130,400
Department 2	Machine calibration	$	305,000		Production runs	400
	Labeling		17,500		Cases of output	110,000
	Defects		4,500		Cases of output	110,000
		$	327,000
Support	Recipe formulation	$	80,000		Focus groups	80
	Heat, lights, and water		38,000		Machine hours	2,000
	Materials handling		76,000		Container types	8
		$	194,000

Additional production information about its two product lines follows.

	Extra Fine		Family Style
Units produced	31,000	cases	79,000	cases
Batches	310	batches	490	batches
Machine hours	800	MH	1,200	MH
Focus groups	55	groups	25	groups
Container types	6	containers	2	containers
Production runs	220	runs	180	runs
2. Using ABC, compute the total cost per case for each product type if the direct labor and direct materials cost is $7 per case of Extra Fine and $6 per case of Family Style. (Round your intermediate calculations to 2 decimal places. Round "Activity Rate" and "Overhead cost per unit" answers to 2 decimal places.) 3. If the market price is $16 per case of Extra Fine and $11 per case of Family Style, determine the gross profit per case for each product. (Round your intermediate calculations and final answers to 2 decimal places.)

Suppose that over some time period, the HML portfolio had a total return of -6% and the SMB portfolio had a total return of -4%. During that same time period, there are four mutual fund managers whose funds all earned a 10% return. One manager runs a big value stock fund, one runs a small value stock fund, one runs a big growth stock fund, and one runs a small growth stock fund. Who was the most skilled manager during this time period and why?

Match the scenario with the appropriate hypothesis test. Each word test may only be used once. Zach has just started running for the first time. He would like to track his mileage with a fitness app on his phone. He finds two apps; one that is free and one that costs money. He doesn’t want to pay money if the apps are equally as good at tracking his mileage. He decides to test the two apps. He chooses 10 routes of varying lengths to which he runs with both tracking apps on during the run. After each run he records the difference in tracked mileage between the apps. What procedure is appropriate to test whether there is an average difference in mileage between the two apps?

a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test

The university would like to estimate the proportion of students who used any tobacco product at least once in the last year. They would like to test whether the proportion is more than 50%. From a random sample of 500 students, 276 students said they had used a tobacco product in the last year . What type of procedure is most appropriate for their question of interest?

a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test

A construction engineer would like to test whether a large batch of pressure-treated lumber boards are acceptable for use by a given manufacturer. The boards are advertised as 4”x4”x16’ and should weigh 77 lbs. The standard deviation of the boards from the population is 0.16lbs. For the boards to be acceptable there should be no evidence that the boards weigh other than 77 lbs on average. The engineer takes a random sample of 30 boards and finds the average of the sample to be 76.8lbs. What type of test is appropriate for this scenario?

a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test

A business manager in a health-care facility has been investigating the cost of maintaining patients within its plan. A sample of 15 cases for the last month reported the following:

1	$1,200.00	4	$1,174.00	7	$1,131.00	10	$1,120.00	13	$1,150.00
2	$1,016.00	5	$1,165.00	8	$1,178.00	11	$1,293.00	14	$1,240.00
3	$1,120.00	6	$1,254.00	9	$1,234.00	12	$1,018.00	15	$1,079.00

In its advertising campaigns, the business manager has claimed that the cost of out-of-pocket patient care runs no more than $1,120 per month.

(a) Determine the mean. Median, mode, and standard deviation.

(b) Identify the research problem:

(c) One-tail or two-tails problem, why (discuss):

(d) The Null and Alternate Hypotheses (express mathematically):

(e) Discuss the use of z or t statistic:

(f) Computations (you may use EXCEL, SPSS or any other suitable tool):

(g) Conclusion in terms of Hypothesis:

(h) Discuss validity of claim:

Two children who are bored while waiting for their flight at the airport decide to race from one end of the 20 m-long moving sidewalk to the other and back. Phillippe runs on the sidewalk at 2.0 m/s (relative to the side walk). Renee runs on the floor at 2.0  m/s. The sidewalk moves at 1.5  m/s relative to the floor.Both make the turn instantly with no loss of speed.

Part1
Who wins the race? (Phillippe or Renee?)

Part2
By how much time does the winner win? (2 sig figs and in seconds)

In inventory control the engineer is faced with the following dilemma. If she keeps too much inventory, it results in high costs. On the other hand, if she keeps too few items, she runs the possibility of stocking out. The scenario in this problem is as follows:

– Demand for a spare part ~ Poisson(2) –

On-hand inventory ~ Binomial(4, 0.5)

• 4 is our choice for the stock to keep on hand each day

• 0.5 models our (in)ability to keep n units available

Use R to

(1)Show a simulation with 100 rows of data and create two columns one for the excess inventory, if any, and one for lost potential items sold.

(2)Show the pmf of Demand, On-hand Inventory, Excess, and loss.

(3)Also show descriptive stats for each of the following statistics (Mean, standard deviation, and maximum)