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) = 78T + 160F -0.15TF -0.272 -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) = 1960 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 (100,121.66). F 125 100 85 55 55 ap ат ap ƏF (a) Calculate each of the following. Round your answers to 3 decimal places. dF dT dT 75 dF 100 (100,121.66) (100,121.66) (100,121.66) (100,121.66) = = 125 = 150 175 T 200

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