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sp2606 [1]
2 years ago
14

Betty Cooker runs a bakery in San Francisco that specializes in her famous Black Forest cakes. These cakes come with four kinds

of frostings: vanilla, chocolate, raspberry, and delicious. She estimates that the daily demand for each type of cake is independent and is normally distributed with a mean of 50 and a standard deviation of 20. Each customer wants to buy exactly one cake. Customers who favor a particular type of frosting will not buy any other if their preferred frosting is out of stock. Every day in the morning, Betty Cooker and her team of bakers prepare a fresh batch of the cakes for sale that day. Her costs to bake and top each cake are $5. Each cake sells for $15. Betty's Bakery prides itself on its fresh assortment, so cakes not sold by the end of that day are given away to a soup kitchen for the homeless.
Suppose Betty wants to bake enough cakes so that she can be 97.5% sure that she can satisfy the demand for all of her customers. How many cakes with Devilicious frosting should she prepare daily in the morning?
Business
1 answer:
valina [46]2 years ago
4 0

Answer:

Check the explanation

Explanation:

Let 'X' be a random variable representing the demand and it is given that X ~ N(50, 20)

According to this problem, we have to just find the value X=x when the probability that the random variable 'X' takes a value less than or equal to 'x' is 97.5%. Mathematically,

P(X ≤ x) = 0.975

x = ?

We will transform this in the form of standard normal variable Z when Z = (X-50) / 20) and Z ~ N(0, 1)

P(\frac{X-50}{20}\leq \frac{x-50}{20}) = 0.975

or,

P(Z\leq \frac{x-50}{20}) = 0.975

We consult the standard normal table to get the corresponding value of Z for P=0.975 and get Z = 1.96

So, (x - 50) / 20 = 1.96

i.e. x = 89.2

So, Delicious Frosting should prepare 90 cakes in order to meet the service level of 97.5%.

<u><em>N.B: The value of 'x' can also be found easily by using the Excel formula =NORM.INV(0.975, 50, 20)</em></u>

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A firm must choose from six capital budgeting proposals outlined below. The firm is subject to capital rationing and has a capit
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Answer:

On IRR basis projects 1, 2, 3, and 5 will be selected.

On NPV basis projects 1, 3, 5,  and 6 will be selected.

Explanation:

The firm will accept or choose all the project that has a higher or equal internal rate of interest than cost of capital. However, in the given case project 4 has a lower internal rate of interest (12 percent) than the cost of capital. Thus, projects 1, 2, 3, and 5 will be chosen by the firm. While the firm has budget constraints so it will have no money for projects 4 and 6.

The firm will select all the projects with positive NPV when there is no budget constraint. But in case of budget constraint, the firm will select the project that has high NPV. Thus, Project 1, 6, 3, and 5 will be selected and there will be no money left for projects 2 and 4.

8 0
2 years ago
Scotty and Kirk own a speedboat together. They are not related but have been friends since childhood. They own equal shares of t
snow_tiger [21]

Answer:

C. Tenancy in common.

Explanation:

Based on the information provided within the question it can be said that Scotty and Kirk must title the boat as a tenancy in common. This refers to ownership contract in which each party has a separate transferable interest in the ownership of the asset in question. Which in this case would be the boat that they would like to purchase together. By doing so they would be able to transfer each of their ownership to whomever they would like in the future, without the approval of the other.

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2 years ago
Suppose the Baldwin company shifts focus to only competing in the Thrift and Nano segments, while competing on price by reducing
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Copperhead Trust has the following classes of​ stock: LOADING...​(Click the icon to view the​ data.) Read the requirementsLOADIN
sergeinik [125]

Answer:

Find attached complete question:

common stock dividends is $38,960

preferred stock dividends is $5,040

Explanation:

Going by the complete question,preferred stock dividends is computed thus:

preferred stock dividends=number of shares*par value*dividend rate

number of shares is 7000 (issued and outstanding)

par value of share is $12

dividend rate is 6%

preferred stock dividend=7000*$12*6%=$5040

The preferred stockholders would receive $5040 dividends while the remainder of dividends goes to common stockholders as shown below

Total dividends                              $44,000

preferred stock dividends             ($5040)

common stock dividends              $38,960

Download xlsx
6 0
2 years ago
Littleton Books has the following transactions during May. May 2 Purchases books on account from Readers Wholesale for $4,200, t
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Answer:

Explanation:

The journal entries are shown below:

On May 2:

Purchase A/c Dr $4,200

     To Accounts Payable A/c $4,200

(Being purchase is made on credit)

On May 3:

Freight Inward A.c Dr $290

    To Cash A/c                     $290

(Being freight expenses are paid in cash)

On May 5:

Accounts payable A/c  Dr $350

      To Purchase return               $350

(Being purchase return is recorded)

On May 10:

Accounts payable A/c  Dr $3,850

                      To Cash A/c             $3,773

                      To Discount             $77

(Being full amount is paid and the remaining balance is credited to the cash account)

The discount is computed below:

= (Purchase - purchase return) × discount rate

= ($4,200 - $350) × 2%

= $3,850 × 2%

= $77

On May 30:

Accounts receivable A/c Dr  $4,900

     To  Sales revenue                       $4,900

(Being sales is recorded)

5 0
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