A factory turns out two articles X and Y, each of which is processed by two machines P and Q. X requires 2 hours of P
and 4 hours of Q; Y requires 4 hours of P and 2 hours of Q. Note
that neither P nor Q can work more than 24 hours a day. If each
article X yields a profit of Rs. 30 and each article Y yields a
profit of Rs. 40, find how many of each article should be
produced daily for maximum profit. Also, find the maximum
profit.​

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

-9

step-by-step explanation: