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Ivanshal [37]
3 years ago
6

Joe is maximizing utility by consuming three colas at $2 apiece and four hot dogs at $3 apiece. The last cola gave him 200 units

of utility. How many units of utility did the last hot dog give him?
Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer: The last hot dog give him 300 units of utility.

Step-by-step explanation:

Since we have given that

Number of colas  say = 3

Cost of a piece say 'x' = $2

Number of hot dogs say 'y' = 4

Cost of a piece say 'y' = $3

Marginal utility for the last cola = 200 units.

We need to maximise the utility and find the number of units of utility that the last hot dog give him.

As we know the "Consumer's equilibrium using Two commodities:

\dfrac{MU_x}{x}=\dfrac{MU_y}{y}\\\\\dfrac{200}{2}=\dfrac{MU_y}{3}\\\\100\times 3=MU_y\\\\MU_y=300\ units

Hence, the last hot dog give him 300 units of utility.

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pochemuha
De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ + isinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power.  This therefore would give r ⁿ  [cos (nθ) + i sin (nθ)].

let A =  ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))

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