Sum of vertical forces
$R = \Sigma F_v$
$300 = -100 + P - F + 200$
$P = 200 + F$
Moment about point A
$Rd = \Sigma Fx$
$300(4) = -100(0) + P(2) - F(5) + 200(7)$
$1200 = 2P - 5F + 1400$
$2P - 5F + 200 = 0$
$2(200 + F) - 5F + 200 = 0$
$400 + 2F - 5F + 200 = 0$
$600 = 3F$
$F = 200 \, \text{ lb}$ answer
$P = 200 + 200$
$P = 400 \, \text{ lb}$ answer