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weeeeeb [17]
3 years ago
15

Marilyn and Tiara went for jogging every day. They increased the number of minutes of jogging every week as described below: Mar

ilyn: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Tiara: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Marilyn and Tiara to increase the time they spent jogging?
A.) Marilyn's method is linear because the number of minutes increased by an equal factor every week.

B.) Tiara's method is linear because the number of minutes increased by an equal number every week.

C.) Both Tiara's and Marilyn's method is exponential because the number of minutes increased by an equal number every week.

D.) Both Tiara's and Marilyn's method is exponential because the number of minutes increased by an equal factor every week.
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
The correct answer is C. increase by an equal number every week

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Answer:

The cost function is simply the initial cost plus the manufacturing cost.

C(x)=500+20x-5x^3/4+0.01x^2

The demand function was given to us.

p(x)=320-7,7x

The revenue function is simply x multiplied by the demand function.

R(x)=xp(x)=320x-7.7x^2

We find that when 20 planes are produced, that profit is currently maximized

We know that to maximize profit, marginal revenue must equal marginal cost.

C'(x)=20-15/4x^-1/4+0.02x

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x=19,57

We find that when 20 planes are produced, that profit is currently maximized.

Step-by-step explanation:

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function: , where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars. The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell  planes.

(a) Find the cost, demand, and revenue functions.

(b) Find th eproduction level and the associated selling price of the aircraft that maximizes profit.

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Step-by-step explanation:

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Hope that helped!

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