Mathematics
Mathematics, 20.05.2020 21:59, deeoki3384

I NEED SOMEONE TO DO THIS FOR ME PLS

Ms. K wants to start a new line of Indian Lassis (yogurt and fruit smoothie)- the recipes for which have been passed on in her family for generations and have been modified along the way. After considering several options, she wants to use a bottle similar to the one shown below to market her Lassis. She has hired you to help her with the nitty gritty so she can fully focus on finalizing her Luxurious Lassis.

Luckily, you contacted the manufacturer and struck a deal: a case of 20 bottles for $5.50 and shipping is $10.00 per case. Each bottle is 8.92" tall. Ms. K needs to know how much lassi will fit in each bottle so that she can make enough. Note: the bottle is composed of a sphere with radius 0.5" and a cylinder with height 7.88" and radius of 2".

Ms. K has requested a specific label in the shape of a tridecagon. In order to fit on her bottle, you need a tridecagon with an apothem of 3.50". An online company can produce and ship a batch of 50 labels for the following predetermined amount. Shipping per batch is an additional $5.00 (be sure to include this in your total).

Ms. K has found a special and impressive display case in the shape of a right hexagonal pyramid. She needs to water-proof the outside of her display case with a clear-glossy paint. You have found a great deal on paint: $22.50 per gallon which should cover 300 square feet.
Next, she needs to know the volume of her display case so she can fill it with Lassi bottles. In order to find the volume, you will need to know the base area. (Base edge is 20', Height of the pyramid display case is 7')

Ms. K knows that to find out if her business is profitable she will have to test it out for six months so she has spoken to a few retailers each of which are asking for a different rental amount for their shop space. Nadia is asking for $400/month, Dexter is asking for $125/week, and Sam is asking for $190/fortnight.
(Note: assume 1 month = 4 weeks; fortnight = 2 weeks)

Based on product testing, the Retailers claim that they can sell roughly 50 bottles per week at $6.00 per bottle. The retailer will give Ms. K 45% of the profits. Ms. K knows that a 2 gallon batch of Lassi will cost her $2.00.

To Do:
1. Find the volume of 1 bottle of Lassi. How many quarts of Lassi will fit in one bottle?
2. Find the area of the tridecagon label (don't forget to label your units).
3. Determine cost of labels + shipping.
4. Find the base area, surface area and volume of the display case.
5. Determine cost of paint.
6. Determine how many bottles will fit in the display case.
7. Decide which retailer Ms. K will rent from. Calculate rent for 6 months.
8. Calculate amount of bottles retailer will sell per month, how much they will pay Ms. K, and her profits.
9. Write a letter to Ms. K explaining any and all money to be spent so that Ms. K can take a loan from the bank.
**Round all your answers to the hundredths place. (hint: 0.00)

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Answers: 3

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I NEED SOMEONE TO DO THIS FOR ME PLS

Ms. K wants to start a new line of Indian Lassis (...

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