tinfoQ
2020-12-30
The company manufactures two products, A and B, with a profit of $9 and $7. Each unit of product must be processed on two assembly lines where the required production times are a follows:
a. formulate a linear programming model to determine the optimal product mix that will maximize profit
b. rewrite this model into standard form
c. identify the amount of unused resources(i.e., slack)at each of the graphical extreme points.
d. what would be the effect on the optimal if the production time on line 1 were reduced to 40 hours.
c. What would be the effect on the optimal solution if the profit for product B were increased from $7 to $15? To$20?
FieniChoonin
Skilled2020-12-31Added 102 answers
Plot the straight lines 12x+4y=60
Consider (shade) the region between this line and the origin of the graph paper, 4x+8y=40
consider (shade) the region between thisline and the origin of the graph paper
The region common for the two above is the critical region and one of its vertices give the maximum profit.The vertices of the critical region are:
(0, 0) with unused 60 hours ofline 1 and 40 hours of Line 2, NSK (0, 5), with unused 40 hoursof line 1 ,
(4, 3) with no unused resources. as (4, 3) represents 4 units of product A and 3 units of product B which utilizes 12*4+4*3=60 hours of Line 1 and 4*4+8*3=40 hours of Line 2.
and (5,0) with unused 20 hours of Line 2
The profit function is P=9x+7y
P is maximum at (4,3)
In the part (b) of the problem the line (1) will be 12x+4y=40
22+64
When a cold drink is taken from a refrigerator, its temperature is 5 degree C. After 25 minutes in a 20 degree C room its temperature has increased to 10 degree C. What is the temperature of the drink after 50 minutes?
How many minutes are there in hours?
Find the answer for power .
The following law describes the relationship between gas volume and pressure: ________. A)Boyle's law; B)Henry's law; C)Charles' law; D)Dalton's law
If an electric switch is open then no current flows through the circuit.
A)True;
B)False
The price elasticity of supply of a good is 0.8. Its price rises by 50 per cent. Calculate the percentage increase in its supply.
How many quarts are in 10 gallons?
When the net force acting on an object is zero, the total momentum of the system will:
A)remain constant;
B)increase with time;
C)decrease with time;
D)None of these
How many centimeters are in four meters?
A notebook computer has a mass of 2.25 kilograms. About how many pounds does the notebook weigh?
If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.
Which is longer 5 miles or 10 kilometers?
9 grams is how many milligrams?
How to write in scientific notation?