Module 1 - Technical: A company produces two different products from steel. One requires 3 tons of steel and the other requires 5 tons. There are 100 tons of steel available daily. A constraint on daily production could be written as: $3x_1 + 5x_2 \ge 100$. O True O False
Added by Tony W.
Close
Step 1
Step 1: Identify the variables: x1 = number of units of product 1 produced x2 = number of units of product 2 produced Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 78 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S = 20 L0.30 C 0.70 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100. (a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost. If your answer is zero, enter “0”. Min _______L + _________ C s.t. __________ L0.30 C 0.70 - Select your answer -≤≥<>=Item 4 __________ L, C - Select your answer -≤≥<>=Item 6 __________ (b) Solve the optimization problem you formulated in part a. Hint: When using Excel Solver, start with an initial L > 0 and C > 0. Do not round intermediate calculations. Round your answers to the nearest whole number. L = ________ C = ________ Cost = $________
Madhur L.
Ethan Steel, Inc. has two factories that manufacture steel components for two different rail projects located at two different sites. They would like to determine the number of steel components they need to transport from each factory to each project site. The demand for the steel components for the two projects, Project A, and Project B are 3000, and 4000, respectively. The production and shipping details are as below: Production details: Factory | Maximum capacity 1 | 2000 2 | 5000 Shipping details (with per-unit shipping cost in dollars): Project Factory | A | B 1 | 7 | 8 2 | 6 | 5 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
Supreeta N.
Ethan Steel, Inc. has two factories that manufacture steel components for two different rail projects located at two different sites. They would like to determine the number of steel components they need to transport from each factory to each project site. The demand for the steel components for the two projects, Project A, and Project B are 3000, and 4000, respectively. The production and shipping details are as below: Production details: Factory | Maximum capacity 1 | 2000 2 | 5000 Shipping details (with per-unit shipping cost in dollars): Factory | Project A | Project B 1 | 7 | 8 2 | 6 | 5 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
Adi S.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD