Task 6: The demand function is expressed by the equation Qd = 5 - a) Determine the quantity of goods that buyers

Task 6:
a) Let"s calculate the quantity of goods that buyers can purchase at prices \(P = 1\), \(P = 2\), \(P = 3\). To find the quantity, we need to substitute the given prices into the demand function equation \(Q_d = 5 - P\).

For \(P = 1\):
\(Q_d = 5 - 1 = 4\)

For \(P = 2\):
\(Q_d = 5 - 2 = 3\)

For \(P = 3\):
\(Q_d = 5 - 3 = 2\)

So, at prices \(P = 1\), \(P = 2\), \(P = 3\), the quantity of goods that buyers can purchase is 4, 3, and 2, respectively.

b) Now let"s determine the value of the saturation volume and prohibitive price.
The saturation volume occurs at a price of zero (\(P = 0\)). Substituting \(P = 0\) into the demand function equation, we get:

\(Q_d = 5 - 0 = 5\)

Therefore, the saturation volume is 5.

The prohibitive price is the price at zero demand volume (\(Q_d = 0\)). Substituting \(Q_d = 0\) into the demand function equation, we get:

\(0 = 5 - P\)

To solve for \(P\), we can subtract 5 from both sides:

\(-5 = -P\)

Finally, multiplying both sides by -1, we get:

\(P = 5\)

Therefore, the prohibitive price is 5.

c) To graphically represent the demand function in the coordinate system \(P: Q_d\), we will plot the quantity (\(Q_d\)) on the y-axis and the price (\(P\)) on the x-axis.

We can assign the price values \(P = 0\), \(P = 1\), \(P = 2\), and \(P = 3\) on the x-axis, and the corresponding quantity values \(Q_d = 5\), \(Q_d = 4\), \(Q_d = 3\), and \(Q_d = 2\) on the y-axis.

The graph will consist of points \((0, 5)\), \((1, 4)\), \((2, 3)\), and \((3, 2)\). Joining these points on the coordinate system will represent the demand function graphically.

Task 7:
For the product Q on the market, the following values of the functions are given:
Supply function: \(p = l\)
Demand function: \(p = 5 - a\)

To determine how much of the product will be sold, we need to set the supply function equal to the demand function and solve for \(a\).

Setting the supply function equal to the demand function, we have:

\[l = 5 - a\]

To solve for \(a\), we can subtract \(l\) from both sides:

\[a = 5 - l\]

Therefore, the amount of the product that will be sold depends on the value of \(l\), which is not specified in the given information.