After solving the linear programming problem, we get the answer as <u>250</u>.
What is linear programming?
When a linear function is <u>exposed to multiple restrictions, </u><u>linear </u><u>programming maximizes or minimizes the function</u>. This method determines the best way to use the resources that are currently available and aids managers in using the process to <u>make </u><u>decisions </u><u>about the most efficient use of scarce resources, such as money, time, materials, and machinery</u>. Linear programming has been useful for guiding quantitative decisions in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.
Solution explained:
x=3, y=4 P(3,4) Coordinates of the solution point
x=4, y=3 Q(4,3)
Coordinates of the simultaneous eqs.
x=14/3, y=8/3
Putting the values of x and y in the equation P = 30x + 40y and calculating we get
P(P) = 250, P(Q) = 240, P(R) = 246.67
So, the answer is 250
To learn more about linear programming, use the link given
brainly.com/question/24038519
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