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26 Aug 2018

10. Suppose that r(q) is the total daily revenue (in $) at a fast food restaurant when q hamburgers are sold per day. If " -- +3, find the price p that should be charged if q = 200 hamburgers are to be sold per day. A) p = $5.98 B)p= $2.99 C)p= $3.01 D ) p = $4. 50 E ) none of these do 100

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Patrina Schowalter
Patrina SchowalterLv2
28 Aug 2018
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Problem 13. Daphne's Daisies sells two types of pots of flowers, Daisy Pot and Fern Pot. They have only enough pots to sell a total of 50 flower pots per day. There is a commitment to make at least 20 Daisy Pots and at least 10 Fern Pots every day. In addition, the shop has a profit of $6 per Daisy Pot and $4 per Fern Pot sold. If the shop makes the correct number of each type of flower pot to maximize their profit on a given day, how many of each type of flower pots will be made, and what will the profit be? A) 20 Daisy Pots and 30 Fern Pots for a profit of $240; B) 100 Daisy Pots and 10 Fern Pots for a profit of $600; C) 40 Daisy Pots and 10 Fern Pots for a profit of $280; D) 50 Daisy Pots and 0 Fern Pots for a profit of $300; E) 0 Daisy Pots and 50 Fern Pots for a profit of $200; F) none of these.

 Mr and Mrs Spin operate a Ferris Wheel at various shows and carnivals. A passenger sits in a capsule and enjoys the ride and views. Below is a diagram showing their magnificent wheel:
Passengers embark and disembark the capsule from the platform (a maximum of 6 passengers are allowed at any given time). The time for a passenger to enter the capsule and return to the platform is 6x minutes. The process repeats until the final passenger(s) embark at no later than 10 pm each evening. The Ferris Wheel runs in an anti-clockwise direction. The height h, in metres, from the ground to a capsule, is measured from the ground to the ball on top of any capsule. It is modelled by 𝒉(𝒕) = 𝒂 − 𝐛cos (𝝅/ 𝟑) A passenger pays 3y dollars for a ride on the wheel. The variables a, b, x and y are as follows:  a is equal to 14 (i.e. a=14)  b is equal to the last digit of your student id plus 2 (e.g. if your id is 4567891 then b=3).  x is equal to the third digit of your id plus 3 (e.g. if your id is 4567891 when x=9).  y is equal to the month that you are born plus 6 (e.g. if you are born in July then y=13). Mr and Mrs Spin would like you to do the following mathematical analysis and present the results in a report for their consumption.
Task 1:
What are the minimum and maximum height of a capsule on the Ferris Wheel?
Task 2:
Determine the heights of each of the capsules on the Ferris Wheel while passengers either embark or disembark a capsule. Present these heights in table form, with appropriate labelling.
Task 3:
Determine the time when the final passenger(s) will disembark the capsule and the Ferris Wheel cease for the evening (remember that the final passengers will embark no later than 10 pm). Note, it is possible that the final passenger(s) may embark the capsule prior to 10 pm, so the answer to this task may not be 10 pm + 6x.

Task 4:
Evaluate the number of capsules that will have a passenger(s) embark for any day, given the Ferris Wheel will commence at 4 pm and the time for passenger(s) to embark and disembark is considered negligible.
Task 5:
On average, 4.8 passengers, on any given day, will embark on a capsule each time. Given the answer to Task 4, find the total number of passengers, on average, that will take a ride on the Ferris Wheel in a day.
Task 6:
Given the answers to Tasks 4 and 5, determine the total ticket sales made on a given day.
Task 7:
Create a set of equations to determine:
1. The number of capsules on a given day could be filled with passengers.
2. The total number of passengers on any given day, for an average.
3. The total ticket sales for any given day, based on the number of capsules per day and an average number of passengers per capsule.
Task 8:
Create a schedule (in table form) for total ticket sales for a day, given average passengers between 4 and 6 inclusive and in increments of 0.2 (i.e. 4, 4.2, 4.4, 4.6, etc.) per capsule.
Task 9:
Report these results in a document for Mr and Mrs Spin. An appendix should show all working out for each of the tasks. This document is electronic in format and no handwriting is acceptable.
 

QUA0002 – Assignment  # 1 (10 %)
 
There are 25 questions distributed over 20 exercises; each question is worth 1 point for a total of 25,  then converted to base 10.
 Kindly answer all questions and show your work.
 
EXERCISES

  1. A hitch and trailer listed at $2149.00 has a net price of $1360.00. What is the rate of 
    discount? Give your answer in percentage rounded to nearest 100th.


  2. Rina Boutique advertises a discount of $54.72 on sandals. If the discount is 33.5%, for 
    how much were the sandals sold? Round to nearest 100th.


  3. A 14% discount on a dryer that Gell-Mann purchased, amounted to $70.00. Calculate the 
    net price. 


  4. A microscope is listed for $477.00 less 19 2/3 %, 9%, 7.7%. What is the equivalent single 
    rate of discount that was allowed? Round to nearest 100th. 


  5. Lamb Goldsmith sells watches for $840.00 less 12.55%. Its competitors across the 
    street offer the same type of watch for $860.00 less 13.25%, 11.5%. What additional rate 
    of discount (percentage) must Lamb offer to meet the competitor's price? Round to 
    nearest 100th.


  6. An invoice for $6200.00, dated May 28, 3/10, 1/20, n/60, was received on May 30. What 
    payment must be made on June 5 to reduce the debt to $4760.00? Approximate to the 
    nearest 100th. 


  7. What amount will reduce the amount due on an invoice of $9410.25 by $842.00 if the terms 
    of the invoice are 5/10, n/30 and the payment was made during the discount period?
    Approximate to nearest 100th. 


  8. On 19 June, an invoice dated 18 June for $6250.00 less 17%, 16%, terms 5/10, n/30, was 
    received by Heisenberg Distributors. What is the amount due if the invoice is paid in 
    full on 27 June? Round to nearest 100th. 


  9. The Scientific Store received an invoice for $6710.00 dated July 13, terms 5/10, 2/30, 
    n/90, for a shipment of skis. Calculate the partial payments made 20 July to reduce the 
    balance to $4000.00 Round to nearest 100th.


  10. Purcell Export received an invoice dated August 21 from Dutch Specialties of Amsterdam with 
    terms 5/20, n/45 for: 10 wood trays at $37.45 each; 35 wood planters at $43.75 each;
    50 wood bowls at $37.25 each.

    a)What is the amount due if the invoice is paid in full on September 6? Round to nearest 100th.

b)If only a partial payment is made on the last day  of the discount period, what amount is due to reduce the outstanding balance to $1500.00? Round to nearest 100th. 



  1. An invoice for $4755.00, dated 27 March, terms 3/10 E.O.M., was received 29 March. What 
    payment must be made on 10 April to reduce the debt to $1900.00? Round to nearest 100th. 


  2. Aronian Import received an invoice dated January 5 for a shipment of goods received 
    January 11. The invoice was for $5525.00 less 40%, 8% with terms 3/20 R.O.G. How much 
    must Aronian Import pay on January 20th to reduce its debt by $3000.00? 


  3. Find the cost of an item that was sold for $4230.00 in order to realize a margin of 113% 
    based on cost. Round to nearest 100th. 


  4. Karpov Dealers bought tires from a wholesaler at $75.00 dollars each and sold them 
    at a mark-up of 25% of cost.

    a)Calculate the selling price of one tire. Approximate to nearest 100th.

    b)Calculate the rate of markup based on the selling price of one tire. Approximate to nearest 100th.


  5. Hume's pet shop purchases cat litter for $15.00 less 20% per bag. The store's overhead is 45% 
    of cost and Hume requires a profit of 20 % of cost.

    a)For how much should a bag be sold?  Round to nearest 100th.

b)Calculate the amount of markup.  Approximate to nearest 100th.



  1. A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00.

    a)Compute the markdown.  

    b)Compute  the markdown rate in percentage to the nearest 100th. 


  2. The regular selling price of merchandise sold in a store includes a margin of 62% based 
    on selling price. During a sale, an item which cost the store $231.25 was marked down 
    47%. For how much was the item sold? Approximate to nearest 100th. 


  3. A furniture store sold a bed regularly priced for $990.00 for $720.00. The bed was 
    originally purchased for $600.00 less 40%. The store's overhead is 25% of the regular 
    selling price. Calculate the rate of markdown (as percentage to nearest 100th) at which 
    the bed was sold. Round to nearest 100th.


  4. A furniture store sold a bed regularly priced for $990.00 for $720.00. The bed was 
    originally purchased for $600.00 less 40%. The store's overhead is 25% of the regular 
    selling price. Calculate the operating profit or loss at the sale price. Round to nearest 100th.


 
 

  1. An answering machine cost a dealer $220.00 less 31.5%, 7%. It is regularly priced at 
    $212.00. The dealer's overhead is 17% of the regular selling price and the answering 
    machine was cleared out for $175.45.

    a)What is the regular markup based on selling price? Round to nearest 100th.

    b)What was the rate of markdown at which the  answering machine was sold? Round to nearest 100th. 


Total:   /25   or    /10

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