A company produces two types of solar panels per year: x thousand of type A and y thousand from type B. The revenue and costs equations, in millions of dollars, for the year given as follows R(x, y) = 5x+3y
c(x, y) = x2 -3xy+8y2 +11x-52y-3
Determine how many soalr panels of each type should be produced per year to maximize profit.
The company will achieve a maximum profit by selling (X) solar panels of type A and selling (X) solar panels of type B.

The  profit is

 The  number of solar panels of type a is  3 thousand

   The number of solar panels of type B is  4 thousand

Step-by-step explanation:

From the question we are told that

  The  revenue function is  

  The  cost function is

Generally the profit function is mathematically represented as

Now the next step is to differentiate the profit function partially

At maximum or minimum so

and  

So

Solving equation 1 and 2 simultaneously using substitution method

      From 1

substituting this to 2

multiply through by 2

=>  

So

So the critical point is   (v,w) =  (3, 4)

Now differentiating  partially and substituting the critical point s we have

Now differentiating  partially and substituting the critical point s we have

Now to determine whether the obtained critical point is maximum or minimum the expression

      must be greater than zero so

So \

The maximum price is mathematically evaluated as

So

 The  number of solar panels of type a is  3 thousand

   The number of solar panels of type B is  4 thousand

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

i need a diagram

step-by-step explanation:

no