Consider the following cash flow diagram. Which of the expressions is not valid for the present worth?

a. \(\quad P=100(P \mid A 10 \%, 6)+50(P \mid G 10 \%, 3)\) \(+150(P \mid A 10 \%, 3)(P \mid F 10 \%, 3)\)

b. \(\quad P=100(P \mid A 10 \%, 3)+50(P \mid G 10 \%, 3)\) \(+250(P \mid A 10 \%, 3)(P \mid F 10 \%, 3)\)

c. \(\quad P=250(P \mid A 10 \%, 6)-50(P \mid G 10 \%, 3)\)

d. \(P=100(P \mid A 10 \%, 4)+50(P \mid G 10 \%, 4)\) \(+250(P \mid A 10 \%, 2)(P \mid F 10 \%, 4)\)

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$100 $150 $200 $250 $250 $250 SIILLL 0 1 2 3 4 5 6 10%/yr