Purchase Solution

Algebra - Equations and Matrices

Not what you're looking for?

Ask Custom Question

See Attached

Exercise 5.5
25. Supply and Demand The supply function for a product is given by p=q²+2q+122 and the demand function for this product is p=650-30q, where p is the price in dollars and q is the number of hundreds of units. Find the price that gives market equilibrium and the equilibrium quantity.

29. Break-Even The weekly total cost function for a piece of equipment is C(x) =2000x+ 18,000+60x² dollars, and the weekly revenue is R(x) =4620x-12x²-x³, where x is the number of thousands of units. The x-values that are the solution to the system

y=2000x+18,000+60x²
y=4620x-12x²-x³
are the quantities that give break-even. Find these quantities.

31. Break-Evan The monthly total cost function for a product is C(x) =400x+0.1x²+17,901 dollars, and the monthly revenue is R(x) =1000x-0.01x², where x is the number of units. Find the numbers of units that's give break-even for the product. (Hint: Use graphical methods to find one solution less than 100 units and one greater than 5000 units.)

33.Construction a Box A rectangular piece of cardboard with area 180 square inches is made in to an open box by cutting squares 2 inches on a side from each corner and turning up the sides. If the box is to have a volume of 176 cubic inches, what is the dimension of the original piece of cardboard?

2 2

2 2

2 2

2 2

Attachments
Purchase this Solution

Solution Summary

Equations for matrices are used to examine the supply function using algebra. A complete, neat and step-by-step solutions are provided in the attached file.

Solution Preview

Exercise 5.5
25. Supply and Demand The supply function for a product is given by p=q²+2q+122 and the demand function for this product is p=650-30q, where p is the price in dollars and q is the number of hundreds of units. Find the price that gives market equilibrium and the equilibrium quantity.

For market equilibrium, supply = demand
q^2 + 2q + 122 = 650 - 30q
q^2 + 32q - 528 = 0
On solving, we get q = {-44, 12}
The equilibrium quantity is 12 units
The equilibrium price is 650 - 30(12) = $290.

29. Break-Even The weekly total cost function for a piece of equipment is C(x) =2000x+ 18,000+60x² dollars, and the weekly revenue is R(x) =4620x-12x²-x³, where x is the number of thousands of units. The x-values that are the solution to the system

...

Purchase this Solution


Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.