工作汇报-PPT模板--2管理数学模板

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Linear <-- Line
a1 x + a2 y = b or a1 x1 + a2 x2 +....+ an xn = b
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Which one is linear?
2x + 3y = 4 x2 + y2 = 1 x1 - x2 + x3 - x4 = 6 z = 5 - 3x + y/2 sin x + ey = 1 xy = 2 7x1 + 3x2 + 9/x3 + 2x4 = 1 x1 + 2x2 + 3x3 +....+ nxn = 1 4
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Question
Use a system of linear equations to model the number of each type of TV set that the company can produce each week while using all of its available labor.
Write the linear equations.
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Agenda
Linear Systems as Mathematical Models
Linear Systems Having One or No Solutions
Linear Systems Having Many Solutions
管理數學 Chapter 2: System of Linear Equations
XX. XX, XXX
by
XXXX
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Agenda
Linear Systems as Mathematical Models
Linear Systems Having One or No Solutions
Linear Systems Having Many Solutions
{ (1) x + 3y = 9 -2x + y = -4
{ (2) -2x + y = 3 -4x + 2y = 2
{ (3) 4x - 2y = 6 6x - 3y = 9
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System of 3 Linear Equations
x1 + x2 + x3 = 2 --------(1) 2x1 + 3x2 + x3 = 3 ------(2) x1 - x2 - 2x3 = -6 --------(3)
(1)
(2)
(3) 17
A System of Linear Equations ( A Linear System )
A retailer has warehouses in Lima and Canton, from which two stores—one in Tiffin and one in Danville—place orders for bicycles. Tiffin orders 38 and Danville orders 46.
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Ingredient Nutritions
Each serving of soup has 15 calories and 1 gram of protein, each serving of tuna has 160 calories and 12 gram of protein, and each serving of green beans has 20 calories and 1 mple 1
A firm produces bargain and deluxe TV sets by buying the components, assembling them, and testing the sets before shipping.
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Resources
The bargain set requires 3 hours to assemble and 1 hour to test. The deluxe set requires 4 hours to assemble and 2 hours to test. The firm has 390 hours for assembly and 170 hours for testing each week.
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Problem Formulation
Define decision variables (unit of scale)
Define the linear relation between variables (write the linear equations)
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Example 2
A dietitian is to combine a total of 5 servings of cream of mushroom soup, tuna, and green beans, among other ingredients, in making a casserole.
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Limitations and Question
Each warehouse has enough to supply all orders but twice as many are to be shipped from Lima to Danville as from Canton to Tiffin.
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Solving a System of Linear Equations
Problem formulation: variable definition and equations
Algorithms or formula
Interpretation of solutions
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System of 2 Linear Equations
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Question
If these three foods are to furnish 380 calories and 27 grams of protein in casserole, how many servings of each should be used?
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Example 3