MegaSports,Inc

question 41

Essay

MegaSports,Inc.produces two high-priced metal baseball bats,the Slugger and the Launcher,that are made from special aluminum and steel alloys.The cost to produce a Slugger bat is $100,and the cost to produce a Launcher bat is $120.We cannot assume that MegaSports will sell all the bats it can produce.As the selling price of each bat model-Slugger and Launcher-increases,the quantity demanded for each model goes down.​
Assume that the demand,S,for Slugger bats is given by S = 640 − 4P_S and the demand,L,for Launcher bats is given by L = 450 − 3PL where P_S is the price of a Slugger bat and P_L is the price of a Launcher bat.The profit contributions are P_S S − 100S for Slugger bats and P_L L − 120L for Launcher bats.Develop the total profit contribution function for this problem.

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Definitions:

Active Transport

The movement of molecules across a cell membrane requiring energy input, typically against their concentration gradient.

Bicarbonate Ions

Chemical ions (HCO3-) that act as a buffer in blood and help maintain the body's pH balance.

Pepsinogen

Proenzyme formed and secreted by the chief cells of the gastric mucosa; the acidity of the gastric juice and pepsin itself converts pepsinogen into pepsin.

Zymogen Granules

Intracellular storage granules found in the pancreas and other glands, containing inactive enzyme precursors that can be activated when needed.