Solve This Linear Programming Mixture Problem: Kim and Lynn Produce

question 56

Essay

Solve this linear programming mixture problem: Kim and Lynn produce pottery vases and bowls. A vase requires 25 oz of clay and 5 oz of glaze. A bowl requires 20 oz of clay and 10 oz of glaze. There are 500 oz of clay available and 160 oz of glaze available. The profit on one vase is $5 and the profit on one bowl is $3. How should Kim and Lynn schedule production to optimize profit?

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Definitions:

Runoff

The flow of water that occurs when excess stormwater, meltwater, or other sources flows over the Earth's surface, often leading to erosion and transporting sediments.

Floodplain

Land that is level or almost level, located next to a river or stream, which undergoes infrequent or regular floods.

Meander

A winding curve or bend in a river, which occurs as the river erodes the landscape in sinuous patterns.

Flood

The result of water overfilling a channel and spilling out onto the floodplain or other adjacent land.