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Dima020 [189]
2 years ago
8

Which of these boxes of cereal has the LOWEST unit price?

Business
1 answer:
marshall27 [118]2 years ago
5 0

Answer: Cereal B

Explanation:

• Cereal A costs $3.20 for a 16 oz. box. The cost per oz will be:

= $3.20/16

= $0.2 per ounce

• Cereal B costs $5.00 for a 32 oz. box. The cost per oz will be:

= $5.00/32

= $0.15625 per ounce

• Cereal C costs $2.50 for a 10 oz. box. The cost per oz will be:

= $2.50/10

= $0.25 pee ounce

• Cereal D costs $4.50 for a 8 oz. box. The cost per oz will be:

= $4.50/8

= $0.5625 pee ounce

Therefore, the box of cereal that has the lowest unit price is box B.

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Answer:

  • Economic order quantity= 1406 units
  • Safety Stock= 630 units
  • Reorder Point= 14130 units

Explanation:

Given Demand D= 78,000units/year

Ordering cost S = $38.00/order

Holding cost H = $3.00unit/year

Average lead time = 9 weeks

Standard deviation of weekly demand = 120 units

a) Economic order quantity:

EOQ = \sqrt{(2*D*S)/H}

EOQ = \sqrt{(2*78000*38)/3}

1405.7 = <u>1406 Units</u>

b)<u> Safety Stock:</u>

Weekly demand = 78000/52 =1500 units

Standard deviation of weekly demand = 120 units

Lead time is 9 weeks

Using the normsinv() in excel the Z value for the desired 96% service level is 1.75

Safety stock = z\sigma _{d}\sqrt{L}

= 1.75*120*\sqrt{9}

= 630 units

Reorder point = average lead time demand + safety stock

= lead time * weekly demand + saftey stock

  = 9*1500 + 630

  = 13500 + 630

Reorder point = 14130

8 0
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temporary suspension and maybe an Improvement Plan.

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A University of Iowa basketball standout is offered a choice of contracts by the New York Liberty.
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Answer: <em>The lowest interest rate at which the present value of the second contract exceeds that of the first is </em><em>a. 7 percent</em><em>.</em>

Explanation:

<em>Calculating present values is a useful way to compare cases where money is to be received in the future. The higher the present value (when comparing cases where you get money), the better</em>. To calculate it, we make use of the next formula:

PV=\frac{C}{(1+r)^{n}}

Where PV: Present value,

C: Cash flow at a given period,

r: Interest rate, and

n: Number of periods that will have passed (in this case, we are talking about years).

Now, since we are getting money twice in each case (the first payment one year from today, and the final payment two years from today), we can restructure our present value formula to include these two payments. We will get something like this:

PV=\frac{C_1}{1+r}+\frac{C_2}{(1+r)^{2}}

<em>Notice how each fraction represents one of the payments received, with one having an 'n' of 1 year, and the other one having an 'n' of 2 years. C₁ and C₂ represent the first and the second payment, respectively.</em>

<em />

Now that we have our completed formula, let's review each contract's present value (PV) with the lowest interest rate (7%), just to see how it turns out. <em>Remember that 7% equals 0.07 in any formula</em>:

<em>Contract A) This one gives her $100,000 one year from today and $100,000 two years from today</em><em>.</em>

PV_{A,0.07}=\frac{100000}{1+0.07}+\frac{100000}{(1+0.07)^{2}}\\PV_{A,0.07}=93457.944+87343.873\\PV_{A,0.07}=180801.817dollars

So Contract A's present value at 7% interest rate would be equal to <em>$180801.817</em>.

<em>Contract B) The second one gives her $132,000 one year from today and $66,000 two years from today</em><em>.</em>

PV_{B,0.07}=\frac{132000}{1+0.07}+\frac{66000}{(1+0.07)^{2}}\\PV_{B,0.07}=123364.486+57646.956\\PV_{B,0.07}=181011.442dollars

So Contract B's present value at 7% interest rate would be equal to <em>$181011.442, </em><em><u>which exceeds that of Contract A</u></em><em>.</em>

<em>Since among our options of interest rates, 7 percent is the lowest one, and, with this taken into account, the present value of the second contract (Contract B) exceeded that of the first (Contract A), </em><em>the answer is a. 7 percent</em><em>.</em>

8 0
2 years ago
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