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A Farmer Has 150 Acres of Land Suitable for Cultivating

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A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $40/acre and that of crop B is $60/acre. The farmer has a maximum of $7,800 available for land cultivation. Each acre of crop A requires 20 labor-hours, and each acre of crop B requires 25 labor-hours. The farmer has a maximum of 3,200 labor-hours available. He has also decided that he will cultivate at least 60 acres of crop A. If he expects to make a profit of $170/acre on crop A and $220/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?

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Definitions:

Target Profit

The amount of net income that a company aims to achieve within a specific time frame.

Fixed Expenses

Costs that remain constant for a given period of time regardless of the level of production or business activity.

Variable Expenses

Costs that vary directly and proportionally with the level of output or sales volume.

Increased Advertising

A strategy involving the amplification of efforts in promoting products or services to boost brand visibility and sales.

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