Question

Given the following situation, use a matrix to solve for the unknowns. A company produces 3...

Given the following situation, use a matrix to solve for the unknowns. A company produces 3 types of widgets. On a given day, the company was able to produce 9 total widgets (combining all 3 types). Widget A costs $3 to produce, Widget B costs #2 to produce, and Widget C costs $1 to produce. The cost to produce the widgets each day is $18. The company produces one more Widget B than the sum of the Widgets A & C. How many of each type of Widget is produced? Set up three equations with three variables. Then,use a matrix to solve for the number of each type of widget.

Homework Answers

Answer #1

here is the solution :

( in the matrix we each row represents an equation with only coefficients of x, y, z respectively )

P.S. (please upvote if you find the answer satisfactory)

P.S. (please upvote if you find the answer satisfactory)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while...
A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while the new machine produces only 8% defective widgets. In addition, the new machine produces 3 times as many widgets as the older machine does. Given a randomly chosen widget was tested and found to be defective, what is the probability it was produced by the new machine? Choose one answer. a. 0.489 b. 0.15 c. 0.511 d. 0.08
A company has 2 machines that produce widgets. An older machine produces 20% defective widgets, while...
A company has 2 machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 6% defective widgets. In addition, the new machine produces 75% of widgets in the company. Given a random chosen widget was tested and found defective, what is the probability it was produced by the new machine?(Hints: you may use a probability tree as assistance to obtain the answer) Select one: 0.526 0.095 0.045 0.474
use matrix manipulation to solve for a, b, and c. Set up a matrix equation for...
use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX=B based on the system of equations below, where X is a matrix of the variables a, b and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. 9a+3b+c=8 , 25a+5b+c=20/3, 36a+6b+c=5
Use algebraic method to solve 3 x 3 payoff matrix for the player A given by  ...
Use algebraic method to solve 3 x 3 payoff matrix for the player A given by   B1 B2 B3                       ?1 12   5 -7                                  ?2 6 -3 1                        ?3 8 7 -5
Set up the system of equations and then solve it by using an inverse matrix. A...
Set up the system of equations and then solve it by using an inverse matrix. A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. Deluxe Premium Ultimate Painting 1.6 2 2.4 Assembly 2 3 4 Packaging 0.5 0.5 1 (a) If the manufacturer has 96 hours available per day...
A company produces widgets at plants 1 and 2. It costs 135x1/2 dollars to produce x...
A company produces widgets at plants 1 and 2. It costs 135x1/2 dollars to produce x units at plant 1 and 260x1/3 dollars to produce x units at plant 2. Each plant can produce up to 1,000 units. Each unit produced can be sold for $12. At most 1,700 widgets can be sold. Determine how the company can maximize its profit.
Company X produces two types of window panes, A and B. It can only produce A...
Company X produces two types of window panes, A and B. It can only produce A at the rate of 6 per day and each requires 6 square feet of glass. It produces B at the rate of 4 per day and each requires 8 square feet of glass. However, Company can only cut 60 square feet of glass per day. It earns a profit of $300 per unit from A and $150 per unit from B. Use the simplex...
A company produces a special new type of TV. The company has fixed costs of $460,000,...
A company produces a special new type of TV. The company has fixed costs of $460,000, and it costs $1300 to produce each TV. The company projects that if it charges a price of $2300 for the​ TV, it will be able to sell 750 TVs. If the company wants to sell 800 TVs, however, it must lower the price to ​$2000. Assume a linear demand. What is the marginal profit if 250 TVs are produced. It is ​$______per item.
Beckstead Company makes a single product called a widget. The company normally produces and sells 80,000...
Beckstead Company makes a single product called a widget. The company normally produces and sells 80,000 widgets each year at a selling price of $40 per unit. The company’s unit cost at this level of activity is given below: Direct materials $ 9.50 Direct labor 10.00 Variable manufacturing overhead 2.80 Fixed manufacturing overhead 5.00 ($400,000 total) Variable selling expenses 1.70 Fixed selling expenses     4.50 ($360,000 total)    Total cost per unit $33.50 Required: Assume that Beckstead Company has sufficient capacity...
- A company produces two types of solar panels per year: x thousand of type A...
- A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x,y)=6x+7y c(x,y)= x^2-3xy+9y^2+16x-89y-7 determine how many of each of solar panelscshould be produced per year to maximize profits the company will achive a maximum profit by selling ____ solar pAnels of type A and ____ for type be maximum profit is $____...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT