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Mariana [72]
2 years ago
14

Do this for me pls im deprate

Mathematics
1 answer:
Zanzabum2 years ago
3 0

Answer:

216 cm^{2}

Step-by-step explanation:

The total area = the area of a square + the area of a circle

The area of the square = 11 x 11 = 121 cm^{2}

The area of the circle = \pix\frac{11}{2}x\frac{11}{2} ≈ 95 cm^{2}

Therefore, the total area = 121 + 95 = 216 cm^{2}

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3 years ago
Wholemark is an internet order business that sells one popular New Year greeting card once a year. The cost of the paper on the
erma4kov [3.2K]

Answer:

The optimal production quantity is 9,322 cards.

Step-by-step explanation:

The information provided is:

Cost of the paper = $0.05 per card

Cost of printing = $0.15 per card

Selling price = $2.15 per card

Number of region (n) = 4

Mean demand = 2000

Standard deviation = 500

Compute the total cost per card as follows:

Total cost per card = Cost of the paper + Cost of printing

                                = $0.05 + $0.15

                                = $0.20

Compute the total demand as follows:

Total demand = Mean × n

                       = 2000 × 4

                       = 8000

Compute the standard deviation of total demand as follows:

SD_{\text{total demand}}=\sqrt{500^{2}\times 4}=1000

Compute the profit earned per card as follows:

Profit = Selling Price - Total Cost Price

         = $2.15 - $0.20

         = $1.95

The loss incurred per card is:

Loss = Total Cost Price = $0.20

Compute the optimal probability as follows:

\text{Optimal probability}=\frac{\text{Profit}}{\text{Profit+Loss}}

                               =\frac{1.95}{1.95+0.20}\\\\=\frac{1.95}{2.15}\\\\=0.9069767\\\\\approx 0.907

Use Excel's NORMSINV{0.907} function to find the Z-score.

<em>z</em> = 1.322

Compute the optimal production quantity for the card as follows:

\text{Optimal Production Quantity}=\text{Total Demand}+(z\times SD_{\text{total demand}}) \\

                                               =8000+(1.322\times 1000)\\=8000+1322\\=9322

Thus, the optimal production quantity is 9,322 cards.

8 0
3 years ago
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