4. Gabe's Gadgets has stores in three locations, Flint, Pontiac, and Detroit.The number of Gadgets sold in each location in September and October is given in the following table.FlintPontiacDetroitFlintPontiacDetroitSeptember30,00045,00070,000The total cost, in dollars, at each location in September and October is given in the following table.The selling price of each gadget is $30.October25,00042,00060,000September8,00010,00016,000October4,0009,00015,000a. Write a 3x2 matrix X representing the number of gadgets sold at each location in September andOctober, and a 3x2 matrix C representing the total cost at each location in September and October.b. Find the matrix R where R=30X and explain the meaning of the entry 12.c. Find the matrix P where P=R-C and explain the meaning of the entry P31 -

4. Gabe's Gadgets has stores in three locations, Flint, Pontiac, and Detroit. The number of Gadgets sold in each location in September and October is given in the following table. Flint Pontiac Detroit a. The total cost, in dollars, at each location in September and October is given in the following table. The selling price of each gadget is $30. Flint Pontiac Detroit C. September 30,000 45,000 70,000 October 25,000 42,000 60,000 September 8,000 10,000 16,000 October 4,000 9,000 15,000 Write a 3x2 matrix X representing the number of gadgets sold at each location in September and October, and a 3x2 matrix C representing the total cost at each location in September and October. b. Find the matrix R where R=30X and explain the meaning of the entry 12- Find the matrix P where P=R-C and explain the meaning of the entry P31 -

4. Gabe's Gadgets has stores in three locations, Flint, Pontiac, and Detroit. The number of Gadgets sold in each location in September and October is given in the following table. Flint Pontiac Detroit a. The total cost, in dollars, at each location in September and October is given in the following table. The selling price of each gadget is $30. Flint Pontiac Detroit C. September 30,000 45,000 70,000 October 25,000 42,000 60,000 September 8,000 10,000 16,000 October 4,000 9,000 15,000 Write a 3x2 matrix X representing the number of gadgets sold at each location in September and October, and a 3x2 matrix C representing the total cost at each location in September and October. b. Find the matrix R where R=30X and explain the meaning of the entry 12- Find the matrix P where P=R-C and explain the meaning of the entry P31 -

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: None

A: Approach to solving the question: Detailed explanation:To summarize, we analyzed data on the fence…

Q: ompanies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of…

A: Hi! Thank you for the question, as per the honour code, we are allowed to answer three sub-parts at…

Q: 10. Dunkin Donuts budgets 1/8 of its monthly profits on salaries. Salaries for the month were…

Q: Below is a chart of monthly expenses for a person who spends $1,000 a month. Category Rent…

A: the number that would represent the whole in this instance is the total expenditure .

Q: the following expression describes the total cost in dollars of ordering xDVDs from a website…

A: Let's describe the given expression.

Q: The owner of an apartment building can rent all 40 apartments if she charges $1,600 per month, but…

Q: employee who lives 24 miles from her place of work can either drive or take the subway. Use the…

A: We have to calculate the cost saving by travelling by subway.

Q: 8.) Niacin. The U.S. Department of Agriculture's recommended daily allowance of niacin for adults is…

Q: The table shows the cost of 3 different loaves of bread and the number of slices for each loaf. What…

A: The given table shows the cost of 3 different loaves of bread and the number of slices for each…

Q: Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The…

A: Given:- spent amount of this month rent =319 dollars food =176 dollars fun =132 dollars other =473…

Q: 2. You have a factory that makes bikes and scooters. For bikes, you need 60 square feet of space per…

A: Bike Scooter Availability Area 60 sq ft 45 sq ft 5000 sq ft Time 20 min 36 min 50 hr=3000 min…

Q: After it's new expansion funded by donations from graduates of the MSDS program, Welsh-Ryan Arena…

A: The substitution method or the elimination method can be used to solve a system of equations. We…

Q: 38) A wedding planner purchased both small and large lanterns for a wedding reception. Each sm…

Q: , b, c

A: the regression equation is given as y^=80+0.12x+40d+0.01xd

Q: Lynbrook West, an apartment complex financed by the State Housing Finance Agency, consists of one-,…

Q: Use the table to answer the following questions. Year U.S population (millions) Traffic…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Two bottled waters and an order of cheese nochos costs 5.50. Three bottled waters ond two orders…

Q: The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end…

Q: 15. The strips in Figure 2.16 show the relative amounts of books that Rachel and Leah have read so…

A: This problem involves the concept of fraction

Q: Which type of flour costs the least per pound?

Q: 2. According to the US Post Office the number of pieces of first-class mail processed (in millions)…

A: Given that: Mails processed in 1930 = 16901Mails processed in 1960 =…

Q: 5. The Croyden Chronicle computes charges for classified ads by the number of characters (letters,…

A: Given that the first 80 characters cost $13.75 and each additional character costs 3 cents.

Q: A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She lays out seven…

Q: A clothing retailer must decide how many boxes of fashion pants to order for the upcoming season.…

A: GivenThe demand and their respective probabilities as shown…

Question

4. Gabe's Gadgets has stores in three locations, Flint, Pontiac, and Detroit.
The number of Gadgets sold in each location in September and October is given in the following table.
Flint
Pontiac
Detroit
Flint
Pontiac
Detroit
September
30,000
45,000
70,000
The total cost, in dollars, at each location in September and October is given in the following table.
The selling price of each gadget is $30.
October
25,000
42,000
60,000
September
8,000
10,000
16,000
October
4,000
9,000
15,000
a. Write a 3x2 matrix X representing the number of gadgets sold at each location in September and
October, and a 3x2 matrix C representing the total cost at each location in September and October.
b. Find the matrix R where R=30X and explain the meaning of the entry 12.
c. Find the matrix P where P=R-C and explain the meaning of the entry P31 -

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Making matrices X and C - part (a):

VIEW

Step 2: Finding the matrix R - Part (b):

VIEW

Step 3: Finding the matrix P - Part (c):

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

14.) Sue has $28.40 in change. She has 5 fewer nickels than dimes. How many of each coin does she have? 10 15 20 25 30 27 30 33 36 60 166 72 15.) Last year (2016) the population of St. John's was approximately 345 000 people. This is an increase of roughly 6.5% from 5 years earlier in 2011. What was the population of St. John's in 2011? 16.) John, Shannon, and Perry all worked over the summer. John made $100 more than Perry, while Shannon made twice as much as John. If between them they made $5100, how much did each person make?
1. If milk is $2.12 per half gallon, eggs are $0.85 per doz, flour is $1.95 for 5 lb, sugar is $2.05 for 5 lb and shortening is $3.35 for 3 lb, what would be the cost of the ingredients for the following cake recipe: 1pt (2 cup) milk, 4 eggs, 2 lb (4 cups) flour, 1 lb (2 cup) sugar, 1 lb shortening. If you mixed 8.0 tons of sand, 12 tons of rock, and 4.0 tons of cement to make concrete, what would the % by weight of sand be? If you have a mixture of 10 lb. sunflower seeds which cost 32¢ per pound and 16 lb. of cracked corn which cost 18¢ per pound, how much would this mixture cost per pound? Cenage Lening 2. 3.
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. No. of Apts 50 49 48 Rent Total Revenue $1,700 $ $1,750 $ $1,800 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? O revenue increases O revenue decreases = (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) (d) Find the rent she should charge to maximize her revenue. $ per month
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least 42 kg. The percent of nitrogen in the three chemicals is 7%, 3%, and 4%, respectively. If the three chemicals cost $1.08. $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made with kg of chemical 1 kg of chemical II, andkg of chemical III (Type integers or decimals. Round to one decimal place as needed.)
21. Sofia earns money babysitting and shoveling snow. She charges different unit rates for each type of work. A. Complete the tables and determine the unit rate for each work activity. Babysitting da Shoveling Snow Charge (dollars) 15 30. 45 60 75 Number of Hours 1 2 1A 3 4 5 2025 Charge (dollars) 12 24 36 48 60 Unit rate: 36-3-12 Change (dollars) Number of Hours. B. Plot the ordered pairs from each table on the coordinate plane. Use circles to represent Sofia's earnings from babysitting and squares to represent her earnings from shoveling snow. 80 70 1 2 3 4 5 Unit rate: 75515 Sofia's Earnings 1 2 3 5 Number of Hours Chapter 2 Review 157
b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made it
1. Big H hatchery sells 50 Rhode Island Red chicks for $117 + $20.50 for shipping. Litter Cs hatchery sells 75 Rhodel Island Red chicks for $163+25.75 shipping. Compare unit price (including shipping) for the chicks. 2. 2liter sodas are on sale at 3 for $7. You reckon you need 20 of them. What is the unit price of a 2liter soda? How much will 20 sodas cost at this rate?
Migs, Yuan, and Jane are partners. Their partnership incurred a net loss of 30,000 in the first half year. They agreed that their profit or loss ratio is to be 5/8 to Migs, 1/4 to Yuan, and the remainder to Jane. a. Compute each share in the loss. b. What fraction of the total loss was Jane's share? c. Make a simple pie chart to show division of loss. Please type your solution to a and b.
1.) Below are prices per gallon of regular gasoline at various Shell and Mobil gas stations. Shell: $3.34 $3.56 $3.90 $4.01 $4.12 $3.36 $3.59 Mobil: $23.24 $3.25 $3.99 $3.99 $4.33 $2.99 $3.23 $2.90 $3.56 $3.12 At a= 0.01, test the claim that these two gas chains have the same average gas prices. a.) Use a hypothesis test b.) Use an appropriate confidence interval 1a.) H0: ______________________ H1: ___________________ t= ________________ P-value __________________ Conclusion: _________________________________ b.) t a/2 = ____________________ CI: ____________________________ Conclusion: ___________________________________________
2. Lisa and Mike are partners in a business. The income that the business earns is divided between Lisa and Mike in a 2:3 ratio respectively. Their business earned an income of $250,000 this year. How much will Lisa receive? 3. Trisha and Michael decided to start a business. They decided that Trisha will work at the store full time and Michael will work half time. Trisha and Michael's workload expressed as a ratio respectively would be: 7. The Elegant Farmer grocery store buys bushels of apples each week. Calculate the weighted average price paid per bushel based on the following information for the month of June: Week Number of Bushels Price Per Bushel Total Cost 1 250 1.22 305.00 2 150 1.41 211.50 3 143 1.38 197.34 4 194 1.27 246.38 Total 737 960.22 $
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month
11. Suppose you make and sell skin lotion. A quart of regular skin lotion contains 2 c oil and 1 c cocoa butter. A quart of extra-rich skin lotion contains 1 c oil and 2 c cocoa butter. You will make a profit of $10/qt on regular lotion and a profit of $8/qt on extra-rich lotion. You have 24 c oil and 18 c cocoa butter. a. How many quarts of each type of lotion should you make to maximize your profit? b. What is the maximum profit?