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The following table summarises the key facts about two products, A and B, and three resources Q, R, and S, required to produce them.
Resource UsageResource per Unit Produced Amount of Resource Product A Product B AvailableQ 2 1 2R 1 2 2S 3 3 4
Profit per unit 3 2
All the assumptions of linear programming hold.
1. Formulate a linear programming model for this problem.
2. Solve this model graphically.
3. Verify the exact value of your optimal solution by solving algebraically for the simultaneous solution of the relevant two equations.
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
On average 12 people every half hour check in at Counter A at the Qantas domestic terminal at Terminal 2 at Sydney airport. The people arrive at the counter randomly and independently.
A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 62 mi/h, how far is it from its starting position? Round your answer to 2 deci..
Average Values Group Members: 1. 2. 3. 4. The temperature of a metal rod, 5 m long, is 4x (in degrees Celsius), at a distance x meters from one end of the rod. What is the average temperature in the rod?
How many hours of production time will be scheduled in each department?
Important information about Probability and Events, Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.4 and P(A or B) = 0.9, find P(B).
assume that a random sample is used to estimate a population p. find the margin of error e that corresponds to the
What will the quarterly payments be? At the end of the first year, how much interest will Mr. Sullivan have paid? By how much will he have reduced the principal?
When the base of a ladder that has been resting against a wall is pulled out 4 meters from the wall, the top of the ladder drops by 1/5 the length of the ladder. what is the length of the ladder?
Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b. Given a= and b = determine whether a and b are parrallel, perpendicular, or neither.
suppose we are given the following programming segmentfx 0for x 1 to x n where n is a positive integerfx xx32print
Determine any equilibrium solutions, and classify as stable or unstable.
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