Consider the supply equation p=2x+10, where x is the quantity supplied in units of 1,000 and p is the unit price in dollars. Determine the number of units of the commodity the supplier will make available in the market at the given unit price. p=16
Well, well, well, let's put on our mathematical clown shoes and solve this equation, shall we?
We're given the equation p = 2x + 10, where p represents the unit price in dollars and x represents the quantity supplied in units of 1,000.
Now, we're told that the unit price is 16 dollars, so we can substitute that into our equation: 16 = 2x + 10.
To solve for x, let's subtract 10 from both sides, clown-style: 16 - 10 = 2x + 10 - 10. That gives us 6 = 2x.
And now, divide both sides by 2, juggling equations like a true clown: 6 / 2 = 2x / 2. This simplifies to 3 = x.
So, at a unit price of 16 dollars, the supplier will make available 3,000 units of the commodity in the market. Ta-da!
To determine the number of units of the commodity the supplier will make available in the market when the unit price is $16, we can substitute the given price into the supply equation and solve for x.
Given: p = 16
Substituting the value into the supply equation, we have:
16 = 2x + 10
Now we solve for x:
16 - 10 = 2x
6 = 2x
Dividing both sides of the equation by 2:
6/2 = 2x/2
3 = x
Therefore, when the unit price is $16, the supplier will make 3 units (in thousands) of the commodity available in the market.
To determine the number of units of the commodity the supplier will make available in the market at a unit price of $16, we need to solve the supply equation p = 2x + 10 for x.
Given that p = 16, we substitute this value into the equation:
16 = 2x + 10
To solve for x, we isolate the term with x:
2x = 16 - 10
2x = 6
Dividing both sides of the equation by 2, we get:
x = 6 / 2
x = 3
Therefore, at a unit price of $16, the supplier will make 3 units of the commodity available in the market.