The following are the demand and supply functions for three competing mobile phone models of different manufacturers.
q_d1=92-20p_1+4p_2+4p_3
q_s1=24p_1-32
q_d2=60+4p_1-12p_2+8p_3
q_s2=12p_2-44
q_d3=76+4p_1+8p_2-16p_3
q_s3=12p_3-20
Using Inverse Matrix Method determine whether there are prices which would bring the supply and demand levels into equilibrium for each of the three mobile phone models. If so, what are the equilibrium demand and supply quantities?
Answers
Answer:
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Step-by-step explanation:
The total resistance of a circuit connected to the given cell of emf 15 V is the sum of all the resistances from various sources like, resistors, ammeter, voltmeter, etc., connected in series along with the internal resistance of the cell.
In this case, the total resistance is given as 3Ω+3Ω+6Ω=12ohms.
From the ohm's law the total current can be calculated from the formula I=V/R.
That is, I=
R
V
=
12A
15V
=1.25A.
Hence, the current through the battery is 1.25 amperes.
The voltage output of a device is measured across its terminals and is called its terminal voltage V. Terminal voltage is given by the equation V=emf−Ir where, r is the internal resistance and I is the current flowing at the time of the measurement.
Therefore, V=15V−(1.25×3)=11.25V.
Hence, the potential difference across the terminals of the cell is 11.25V