I think it's <span>Individuals, Groups and Structures.
Hope this helps !
Photon</span>
Solution:
Let the amount invested in scheme which yields 9% be x and amount invested in scheme which yields 13% be y.
x + y = 180000 --equation 1
0.09x + 0.13y = 18000 --equation 2
Balancing the equations, multiply equation 1 with 0.09 and equation 2 with 1,
0.09x + 0.09y = 16200 -equation 3
0.09x + 0.13y = 18000 --equation4
Subtracting equation 4 from 3,
-0.04y = -1800
y = 45000
Now putting value of y in equation 1,
x + 45000 = 180000
x = 135000
The amount to be invested in scheme which yields 9% = $135,000
The amount to be invested in scheme which yields 13% = $45,000
Answer:

since 

Explanation:
U(q₁ q₂)

Budget law can be given by

Lagrangian function can be given by

First order condition csn be given by



From eqn (i) and eqn (ii) we have

Putting
in euqtion (iii) we have

since 

Answer:
It should price the espresso at $1.25
Explanation:
![\left[\begin{array}{ccccc}&D1&D2&D3&D4\\$Sales Price&1&1.25&1.5&1.75\\$Variable Cost&0.25&0.25&0.25&0.25\\$Margin&0.75&1&1.25&1.5\\$Quantity&9,000&8,000&6,000&4,000\\$Contribution&6,750&8,000&7500&6,000\\$Fixed Cost&3,000&3,000&3,000&3,000\\$Income&3,750&5,000&4,500&3,000\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D%26D1%26D2%26D3%26D4%5C%5C%24Sales%20Price%261%261.25%261.5%261.75%5C%5C%24Variable%20Cost%260.25%260.25%260.25%260.25%5C%5C%24Margin%260.75%261%261.25%261.5%5C%5C%24Quantity%269%2C000%268%2C000%266%2C000%264%2C000%5C%5C%24Contribution%266%2C750%268%2C000%267500%266%2C000%5C%5C%24Fixed%20Cost%263%2C000%263%2C000%263%2C000%263%2C000%5C%5C%24Income%263%2C750%265%2C000%264%2C500%263%2C000%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The best Income is generated at the price of 1.25 dollar
Therefore, this is the amount to Specialty Coffees set for espresso.