Answer:
C(T) = $730 + $25T
R(T) = $35T
T = 193 transactions
Explanation:
Given that:
C = cost ; R = revenue ; T = number of transactions
Amount paid per transaction = $25
Cost keeping office open = $730
Amount collected on each transaction = $35
(a) Find a formula that gives C as a function of T.
C(T) = Cost of keeping office open + (cost per transaction × number of transactions)
C(T) = $730 + $25T
(b) Find a formula that gives R as a function of T.
R(T) = (Amount collected per transaction * number of transactions)
R(T) = $35T
(c) Find the number of daily transactions that are needed to make the revenue $1200 more than the cost.
R = C + 1200
Substitute the value of R and C into the equation:
35T = 730 + 25T + 1200
35T - 25T = 730 + 1200
10T = 1930
T = 1930 / 10
T = 193 transactions
Answer:
K1 has contribution of $15.40 per pound
S5 has contribution of $8.50 per pound
G9 has contribution of $11.70 per pound
Explanation:
The contribution per pound of each can be computed by first of all calculating contribution per unit of each of the products produced by Childress company,then dividing each contribution per product by the number of pounds of direct materials used by each product as shown below.
K1 S5 G9
Selling price $158.38 $114.80 $204.52
variable costs ($86.00) ($91.00) ($139.00)
Contribution per product $72.38 $23.80 $65.52
Material usage in pds 4.7 2.8 5.6
Contribution margin per pd $15.40 $8.50 $11.70