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A Company Manufactures a Product Using X, Y and Z Q=60x13y14z25Q = 60 x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 4 } } z ^ { \frac { 2 } { 5 } }

Question 49

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A company manufactures a product using x, y and z units of three different raw materials.The quantity produced is given by the function Q=60x13y14z25Q = 60 x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 4 } } z ^ { \frac { 2 } { 5 } } .Suppose the cost of the materials per unit is $20, $25 and $75 respectively.
Find the maximum production if the budget is limited to $6000.

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