Firms often face the problem of allocating an input in


Firms often face the problem of allocating an input in fixed supply among different products.  Find theoptimal crude oil allocationfor the following example if the profit associated with square foot of fiber is cut to $0.375, while the profit associated with per gallon of gasoline stayed at $0.50.

  • What is gasoline marginal profit, given gasoline production function of
    • QG = 72MG - 1.5 MG2,
  • What is fiber marginal profit, given fiber production function of
    • QF = 80MF - 2MF2,
    • Subject to the constraint of 20 thousand total barrels of crude oil
  • Determine the maximize profit.
  • Determine total input availability.

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Business Economics: Firms often face the problem of allocating an input in
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