The cost of producing a doll is $1.20 per doll plus fixed costs of $12.50.
a) Write a formular for the cost of producing d dolls.
b) If the cost was $38.90, how many dolls were produced?
THANKYOU!
2007-06-12 23:35:30 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let X = price of dolls
Let Y = fixed cost
Let Z = number of dolls produced
X = $1.20
Y = $12.50
Z = unknown
Z(X) + Y = total price of producing dolls
Z($1.20) + $12.50 = $38.90
solve for Z
Z($1.20) = $26.40
Z = $26.40/$1.20
Z = 22
Therefore for $38.90 22 dolls can be manufactured with a fixed cost of $12.50 that is included.
2007-06-12 23:49:51 · answer #1 · answered by ms_Lila 5 · 1⤊ 0⤋
(a) Let C = cost of producing dolls
Therefore, cost of producing d dolls will be
C = $1.20(d) + $12.50
(b) For a total cost of $38.90, the formular above becomes
38.90 = 1.20d + 12.50
which means
1.20d = 38.90 - 12.50
which means
1.20d = 26.40
which means
d = 26.40/1.20
therefore d = 22
hence 22 dolls can be produced.
2007-06-13 07:07:56 · answer #2 · answered by Shepherd 1 · 1⤊ 0⤋
a) The formula for total cost of producing the dolls would be 1.2 X + 12.50
X being the number of dolls
For ex...if you are producing 3 dolls than the cost would b e 1.2*3 + 12.50 = 16.10$
b) If the cost was 38.90 then the number of dolls produced =
1.2 X + 12.50 = 38.90
1.2 X = 38.90 - 12.50
1.2X = 26.40
X = 26.40/1.2
X = 22
22 is the answer to ur question b
2007-06-13 06:49:50 · answer #3 · answered by Nattu 2 · 1⤊ 0⤋
this is more like economics
Total Cost = fixed cost + variable cost
Variable cost = 1.20 x quantity
TC = FC + VC
12.50 + 1.20Q = 38.90
1.20Q = 38.90 - 12.50
1.20Q = 26.40
Q = 26.40/1.20
= 22 dolls
2007-06-13 12:02:16 · answer #4 · answered by marionette_presto 3 · 0⤊ 0⤋
a) C=1.20d+12.50
b) (38.90-12.50)/1.20 =22 dolls are produced
2007-06-13 07:04:33 · answer #5 · answered by Anonymous · 1⤊ 0⤋
Let no. of dolls produced = x
Question a)
C(x) = 12.50 + 1.2 x
Question b)
38.90 = 12.50 + 1.2x
1.2x = 26.40
x = 264 / 12
x = 22
22 dolls were produced.
2007-06-13 12:08:36 · answer #6 · answered by Como 7 · 0⤊ 0⤋
since the fixed cost is $12.5 and variable cost is $1.20 per doll
to produce d dolls the cost is $12.5+1.2(d)
equate the $38.9 to the above equation and solve for d to get the no. dolls.
d=26.4/1.2
d=22 dolls
2007-06-13 06:42:31 · answer #7 · answered by rana_22_m 2 · 1⤊ 0⤋
a) $1.20*d + $12.50
b) ($38.90 - $12.50) / $1.20 = 22 dolls
2007-06-13 06:44:38 · answer #8 · answered by blighmaster 3 · 1⤊ 0⤋
a) cost of producing d dolls (in dollars)
=1.2d+12.50
b) using the above formula
38.90 = 1.2d+12.50
26.40=1.2d
26.40/1.2 = d
22.0 = d
therefore 22 dolls were produced.
2007-06-13 06:43:31 · answer #9 · answered by Jain 4 · 1⤊ 0⤋
cost of produsing 'd' dolls will be equal to
$(1.2+12.5)*d
Now if cost was 38.9
then 38.9/(1.2+12.5)*d are number of dolls produced !!
2007-06-13 06:42:35 · answer #10 · answered by Anonymous · 0⤊ 0⤋