QUIZ 1 The market research department of a company recommended to management that the
company manufacture and market a promising product on the market. After extensive surveys, the
research departmeni backed up the recommendation with the demand equation;
x = f(p) = 6,000 – 30p
where x is the number of units that retailers are likely to buy per month at GHSp per unis. From the
finance department, the following cost equation was obtained:
C = g(x) = 72,000 + 60%
Assuming revenue equation is R = xp
(a) Find the profit equation equations in terms of p only.
(5 marks)
(b) Calculate the price (s) and the quantity demanded at which the company would break oven.
(6 marks)
(c) Ar what price does the company maximize prot?
15 marks)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204