the total dauly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 17x - (10x + b), where b is a constant. if 300 units were produced and sold yesterday for a total profit of $1,900, whatr is the value of b?
the answer is 200 but I don't know how to solve it, so please explain how to solve it step by step.
thanks in advance.
2006-11-24 02:07:40 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
x = 300
300*17 - 10 * 300 - b = 1900
5100 - 3000 - b = 1900
2100 - b = 1900
b = 200
Easy as that!
2006-11-24 02:12:35 · answer #1 · answered by Naval Architect 5 · 1⤊ 0⤋
P(X) =1900
x=300
so substitute in 300 for x and 1900 for P(x) and solve for b
1900=17(300)-(10(300)+b)
1900=5100-3000-b
1900=2100-b
-200 = -b
b = 200
2006-11-24 10:22:53 · answer #2 · answered by dla68 4 · 1⤊ 0⤋
1900 x 300 = 17 x 300 -(10 x 300 + b)
570000=5100 -(3000 + b)
1900=5100 -3000 - b
b=2100-1900 = 200
2006-11-24 16:45:59 · answer #3 · answered by your pal 2 · 0⤊ 0⤋
1900=17x-10x-b
=>1900=7X300-b
=>b=200
2006-11-24 11:33:29 · answer #4 · answered by alpha 7 · 0⤊ 0⤋