A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let x1 and x2 be the numbers of units produced at the two locations. The cost function is modeled by C = 0.2x12 + 25x1 + 0.05x22 + 12x2. Find the number of units that should be produced at each location to minimize the cost. x1  =   _____units x2  =  ______units

Question

A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let x1 and x2 be the numbers of units produced at the two locations. The cost function is modeled by

C = 0.2x12 + 25x1 + 0.05x22 + 12x2.

Find the number of units that should be produced at each location to minimize the cost.

x1  =   _____units
x2  =  ______units

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the derivative of the function. f(x) = x6 ln(x)

A: Click to see the answer

Q: Find the absolute minimum and absolute maximum values of f on the given interval 2sin2t after differ...

A: Given function is 

Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9]    By the Mean Value Theorem, we know there exists at...

A: Given function

Q: Solve the equation for x: 272x+1=1/3

A: To determine the solution of the equation.

Q: 10 0 x 2 et where x thousand lipsticks were sold per week at a price of p dollars each. At what pric...

A: Given:

Q: Can I get help with this problem step by step?

A: Graph the function, find domain , f\(x) and f’’(x)

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given,

Q: Can I get help with this problem step by step?

A: Plese see the typical right circular cone on the white board.Pythagoras theorem results into: r2 + h...

Q: A theorem states that one local extremum implies absolute extremum. Find the location and value of t...

A: Given function is

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the pa...

A: Corresponding to θ=0, the x and y coordinates will be,

Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.

A: Given that,

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the x-a...

A: Consider the given curves.

Q: Find the equation of the tangent plane to the following surface at the given point. 4y cos (3ar 2) S...

A: Given equation of surface and point is

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. : 7, и( - 3, 2) — 6, o( — 3, 2)...

A: According to the given information:

Q: Calculus Question

A: To check the concavity of a given function f(x) first we need to find the f ''(x).If the value of f ...

Q: Let D(x be the demand (in units) for a new product when the price is x dollars. (a) Write sentences ...

A: (a)

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Plug f(x)= g(h(x)) in the given function. 

Q: Answer the following questions about the function whose derivative is f′(x)=(x-6)^2(x+7). Assume the...

A: Given,

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x...

A: Click to see the answer

Q: I am confused about parts C and D.

A: Given:Three-digit numbers:

Q: The accompanying table gives the number of men 65 years or older in the United States and the percen...

A: Given the data

Q: A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4 feet...

A: Click to see the answer

Q: f(x)=(2x^3)-(15x^2)-36x+7 on the interval [-6,9]. Find the average or mean slope on this interval. B...

A: Click to see the answer

Q: Use the given transformation to evaluate the integral. where R is the rectangle enclosed by the line...

A: First consider the transformation that is to be used and find x and y in terms of u and v:

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer

Q: HELP ME BEFORE 11:59pm

A: Given,

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = x2 + 5,     ...

A: Substitute the values in difference quotient formula for x = (6+h) and x = 6. By the use of differen...

Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 ...

A: Given vector function is,

Q: Exercise 5: For the following graphs, sketch a graph of the derivative (i.e., you are given f; sketc...

A: Consider the given curve of f(x).

Q: Consider the following.x = 1 + t2y = t2 + t3 (a) Find the following.(dy)/(dx) = (d^2y)/(dx^2) = (b) ...

A: Click to see the answer

Q: 17. Find the exact area of the surface z = 1 + 2x + 3y + 4y2, 1x 4, 0 y < 1

A: Click to see the answer

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

Q: Consider the following.x = et - 6y = e2t(a) Eliminate the parameter to find a Cartesian equation of ...

A: From the equation for x, write t in terms of x.

Q: Find the particular solution of the differential equation dy/dx+ycos(x)=4cos(x) satisfying the initi...

A: Given differential equation is,

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =...

A: Given parametric equations are

Q: The world's output of primary energy (petroleum, natural gas, coal, hydroelectricity, and nuclear el...

A: It is increasing at the rate of 2.4% annually. So 0.024 every year.growth rate= (1+0.024)=1.024 per ...

Q: There were 27 deer in a park on January 1, 2000.  Six months later there were 38 deer in the same pa...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: a. For the function and point below, find f'(a) b. Determine an equation of the line tangent to the ...

A: Given:

Q: f(x)=(4x^2)/[(x^2)−4].  Calculate the first derivative of f. Find the critical numbers of f, where i...

A: The given function is,

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: Systems of Linear Equations and Matrices 292 CHAPTER 6 6.3 Exercises of Use systems of equations to ...

A: You have asked two questions in a single post. I will address the first one. Please post the other q...