DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 blues, 7 disco, 5 pop, and 7 reggae songs, and he wants to play no more than 4 reggae songs, how many different playlists are possible

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

cutt.ly/4zZs6GM

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