Question

A manufacturer will supply 1200 units of air fryer per month when the unit price is

RM180 and 1800 unit per month when the unit price is RM240. Assume the price p
and quantity q are linearly related. Determine the supply equation.

Answer 1

To determine the supply equation for the air fryers, you can use the given data points. The supply equation is q = 10p - 600, where q is the quantity and p is the unit price.

Step-by-step explanation:

To determine the supply equation for the air fryers, we can use the given data points. Let's use the unit price, p, as the independent variable and the quantity, q, as the dependent variable. We have two data points: (RM180, 1200) and (RM240, 1800). We can use these points to find the equation of the line.

First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). Using the first data point, we have m = (1200 - 1800) / (RM180 - RM240) = -600 / (-60) = 10.

Next, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. Using the first data point, we can substitute the values to find the equation: 1200 = 10(RM180) + b. Solving for b, we get b = 1200 - 10(RM180) = 1200 - 1800 = -600.

Therefore, the supply equation for the air fryers is q = 10p - 600, where q is the quantity and p is the unit price.