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.

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huzaifamtlsLv1

28 Aug 2022

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Jarrod RobelLv2

9 May 2018

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Problem 1. A flower shop makes three different types of flower arrangements: inside arrangements, wedding arrangements and garden arrangements. In a week, each inside arrangement requires 25 roses, 40 gerberas and 20 stephanotis, each wedding arrangement requires 50 roses, 10 gerberas and 25 stephanotis, and finally one garden arrangement requires 100 roses, 80 gerberas and 150 stephanotis. Each week the flower shop has 1000 roses, 850 gerberas and 2000 stephanotis to use. There is a commitment to make at most 10 inside arrangements and at least 5 wedding arrangements every week. Also, the number of the garden arrangements should not exceed the number of inside arrangements. If the profit is $15 for each inside arrangement made, $20 for each wedding arrangement and $30 for each garden arrangement made, how many arrangements of each type should the flower shop make so that will maximize their profit? A) Maximize 15.0+20y+30z subject to r < 10, y > 0,2 > 0, 25x+50y+100% <1000, 40x+10y+802 < 850, 20:r + 25y + 150z < 2000, < > 2; B) Maximize 15.0+20y+30z subject to r > 10, y > 5,2 > 0, 250+50y+1002 < 1000, 40.r+10y+802 < 850, 20:r + 25y + 150z < 2000, < > 2; C) Maximize 15x+20y+30z subject to r> 10, y >5, > 0, 25x+50y+100% <1000, 40.x+10y+80z < 850, 20:+ 25y + 150z <2000, 0, 3 < 10 y > 5, 2 > 0, 25x + 50y + 100% < 1000, 400 +10y + 802 < 850, 200 + 25y + 150z < 2000, < 0, 1 < 10, y > 5, 2 > 0, 25x + 50y + 100% < 1000, 40x + 10y + 80< 850, 20.1 + 25y + 150z < 2000, < > z; F) none of these.

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

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

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.
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?
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.
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.
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.

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.
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.
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.
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.

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