Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question
answer:
≈ 95 units ( output level )
Step-by-step explanation:
Given data :
P = 2000 - Q/10
TC = 2Q^2 + 10Q + 200 ( assumed value )
<u>The output level where a purely monopolistic market will maximize profit</u>
<u>at MR = MC </u>
P = 2000 - Q/10 ------ ( 1 )
PQ = 2000Q - Q^2 / 10 ( aka TR )
MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5
TC = 2Q^2 + 10Q + 200 ---- ( 2 )
MC = d (TC) / dQ = 4Q + 10
equating MR = MC
2000 - Q/5 = 4Q + 10
2000 - 10 = 4Q + Q/5
1990 = 20Q + Q
∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )
Answer:
The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.
Step-by-step explanation:
◆ Define the variables:
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
<u>ANSWER</u>
![1. \: \: f(7) = 35](https://tex.z-dn.net/?f=1.%20%5C%3A%20%20%5C%3A%20f%287%29%20%3D%2035)
![2. \: f(4) = 11](https://tex.z-dn.net/?f=2.%20%5C%3A%20f%284%29%20%3D%2011)
<u>EXPLANATION</u>
To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.
The first function is
![f(x) = 5x](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x)
To find f(7), we substitute x=7, into the function.
![\implies f(7) =5(7) = 5 \times 7 = 35](https://tex.z-dn.net/?f=%20%5Cimplies%20f%287%29%20%3D5%287%29%20%3D%20%205%20%5Ctimes%207%20%3D%2035)
The second function is
![f(x) = 3x - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%20-%201)
To find f(4), we replace x with 4 to obtain,
![f(4) = 3(4) - 1](https://tex.z-dn.net/?f=f%284%29%20%3D%203%284%29%20-%201)
![f(4) = 12 - 1 = 11](https://tex.z-dn.net/?f=f%284%29%20%3D%2012%20-%201%20%3D%2011)
Answer:
There's no answer bc the question is physical impossible and doesn't make any sense what's so ever