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Use the Graphical Method for Linear Programming to Find the Optimal

question 8

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Use the graphical method for linear programming to find the optimal solution for the following problem.
Minimize C = 12x + 4y
 subject to 2x+4y125x+2y10 and x0,y0.\begin{aligned}\text { subject to } 2 x + 4 y & \geq 12 \\5 x + 2 y & \geq 10 \\\text { and } \quad x \geq 0 , y & \geq 0 .\end{aligned}

Recognize the importance of environmental factors and community infrastructure in disease prevention.
Understand the historical development of public health initiatives and their impact on community health.
Analyze the role of government and non-governmental organizations in the advancement of public health.
Identify key figures and their contributions to public health and nursing.

Definitions:

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the equilibrium price, where market supply and demand balance each other.

Supply Decrease

A situation in economics where the amount of a certain good or service that producers are willing to provide at a specific price level reduces.

Demand Decrease

A reduction in the quantity of a good or service that consumers are willing and able to purchase at various prices.

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a certain price over a specific period.

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