Suppose the total revenue function is tr = 75q - 4q2 and the total cost function is tc = q2 + 5q + 36.

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Marginal Revenue is defined as the revenue generated with respect to increase in sale of another extra unit of product.

So we will calculate Marginal Revenue equation by finding the change in Revenue with respect to change in Quantity.

Given the Total Revenue Function as:-

$Tr = 75q-4q^{2}$

Differentiating Total Revenue function (Tr) with respect to quantity (q):-

$\frac{dTr}{dq} = 75-2(4q) = 75-8q$

So Marginal Revenue equation will be, $Mr = 75-8q$

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I do not understand what subscript numbers mean

alekssr [168]

Answer:

subscripts identify different instances of objects that have a similar meaning or definition

Step-by-step explanation:

You apparently are interested in the meaning of the subscript N in the explicit formula ...

$A_N=\dfrac{7N}{N+5}$

Here, it is used to identify different terms of a sequence. When a value is substituted for N, it replaces all instances of N. Using your example, the first three values of $A_N$ are ...

$\text{for N=1: }A_1=\dfrac{7\cdot 1}{1+5}=\dfrac{7}{6}\\\\\text{for N=2: }A_2=\dfrac{7\cdot 2}{2+5}=\dfrac{14}{7}=2\\\\\text{for N=3: }A_3=\dfrac{7\cdot 3}{3+5}=\dfrac{21}{8}$

So, if you're asked to find the 20th term of the sequence, you put 20 where N is, then do the arithmetic.

Subscripts are also used to identify elements of a matrix or coordinates in multiple dimensions. For this purpose, there may be 2 (or more) subscripts, whose order has meaning. The subscripts 24, for example, in $A_{24}$ refer to row 2, column 4 of a matrix named A. That is, the subscripts are in row, column order.