Maximum production p=552728
Step-by-step explanation:
The equation for maximum production is : ![p=100x^{0.34} y^{0.66}](https://tex.z-dn.net/?f=p%3D100x%5E%7B0.34%7D%20y%5E%7B0.66%7D)
The number of units of labor is x @$72
The number of units of capital is y @$40
The total cost of labor and capital is limited to $270,000, this can be written as;
72x+40y ≤ $270,000
Graphing the inequality to find values of x and y ,from the graph;
x=3750 units
y=6750 units
Applying the expression for maximum production
![p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728](https://tex.z-dn.net/?f=p%3D100%2Ax%5E%7B0.34%7D%2A%20y%5E%7B0.66%7D%20%5C%5C%5C%5Cp%3D100%2A3750%5E%7B0.34%7D%20%2A6750%5E%7B0.66%7D%20%5C%5C%5C%5Cp%3D552727.56%5C%5C%5C%5Cp%3D552728)
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Inequalities graphs :brainly.com/question/11386040
Keywords: maximum, production,cost, labor,limited to,capital ,unit
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