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A lash adjuster keeps pressure constant on engine​ valves, thereby increasing fuel efficiency in automobile engines. the relationship between price ​(p​) and monthly demand ​(d​) for lash adjusters made by the wicks company is given by this​ equation: dequals=​(2 comma 4002,400minus−p​)/0.100.10. what is the demand ​(modifyingabove upper d with caretd​) when total revenue is​ maximized? what important data are needed if maximum profit is​ desired?

Respuesta :

Karabo99

Answer and Explanation:

Relationship between price and demand:

D = (2400 - p)/(0.100)

p = 2400 - 0.100*D

then:

Total revenue = p*D

                        = 2400*D - 0.100*D^2

for a maximum revenue:

dR/dD = 0

2400 - 0.100*2D = 0

D = 12000

this is considered a demand

for maximum profit, the initial cost of automobile engines should be less required.

Tundexi

The level of demand when demand when the total revenue is​ maximized is 12,000.

Relationship between the price and demand:

D = (2400 - p)/(0.100)

p = 2400 - 0.100*D

Total revenue = Price * Demand

Total revenue = 2400*D - 0.100*D^2

For a maximum revenue:

dR/dD = 0

Now we input the data

2400 - 0.100*2D = 0

2400 - 0.200D

0.2D = 2400

D - 2400 / 0.2

D = 12,000

In conclusion, the level of demand when demand when the total revenue is​ maximized is 12,000.

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