Aretail chain will buy 900 cordless phones if the price is $40 each and 700 if the price is $60. a wholesaler will supply 550 phones at $30 each and 1250 at $50 each. assuming that the supply and demand functions are linear, find the market equilibrium point and explain what it means.

The point of equilibrium is (40,900).

Step-by-step explanation:

It is given that the supply and demand functions are linear.

From the given information it is noticed that the demand function passing through the points (40,900) and (60,700). The supply function passing through the points (30,550) and (50,1250).

If a line passing through two points, then the equation of line is

The demand function is

                   .... (1)

The demand function is .

The supply function is

                 .... (2)

The supply function is .

Equilibrium is the point where the demand and supply are equal.

On solving (1) and (2), we get

Therefore the point of equilibrium is (40,900). It means the retailer can buy 900 phones for $40 each and the wholesaler can sale 900 phones for $40.

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.