A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of these tents is given by\ \ \ P(T,F) = 80T + 160F 0.15TF 0.2T2 0.3F2 9000\ dollars\ \ when $T is the price of the two-person tent and $F is the price of 4-person tent.\ Check: P(40,60) = 2040\ \ The P = $10,000 contour curve has been sketched for \ 75 <= T <= 200\ and \ 100 <= F <= 140\ and a tangent line has been constructed at the point \ (100,118.91)\ .\ graph of 10000 contour with tangent line where x=100\ \ \ \ (a) Calculate each of the following. Round your answers to 3 decimal places.\ P\ T\ \ (100,118.91)\ = \ 22.164\ \ Correct: Your answer is correct.\ \ P\ F\ \ (100,118.91)\ = \ 73.654\ \ Correct: Your answer is correct.\ \ dF\ dT\ \ (100,118.91)\ = \ \ dT\ dF\ \ (100,118.91)\ =