maximise p=15x+10y
To maximize the expression p = 15x + 10y, we need to find the values of x and y that give the highest possible value for p.
To do this, we can use the concept of optimization. The first step is to determine the constraints on the variables x and y. Without any constraints mentioned, we can assume that x and y can take any real values.
Next, we can use the method of differentiation to find the values of x and y that maximize p. To do this, we take the partial derivatives of p with respect to x and y and set them equal to zero. Let's find these derivatives:
∂p/∂x = 15
∂p/∂y = 10
Setting ∂p/∂x = 0 and ∂p/∂y = 0, we find that there are no critical points since both derivatives are constants. Therefore, there are no specific values of x and y that maximize p.
Since there are no constraints mentioned and the derivatives are constants, we can conclude that p can be maximized by choosing any values for x and y.
In other words, the expression p = 15x + 10y does not have a maximum value unless there are additional constraints given.