Answer:
A. 15 units
B. $130
Explanation:
In order to solve this, we need to use the profit maximization condition for monopoly.
MR = MC will give us the optimal quantity and price for the monopolist.
The consumer's demand for the product is:
Qd = 80 - 0.5P
Therefore, we have:
P = (80 / 0.5) - (Qd / 0.5)
P = 160 - 2Qd
Recall that, Total Revenue:
TR = P * Q
So, in this case TR = 160Q - 2Q^2
MR = d(TR) / dQ = 160 - 4Q
Now, MR = MC
160 - 4Q = 100
4Q = 160 - 100
4Q = 60
Q = 60 / 4
Q = 15 units.
Now, P =160 - 2Q
P = 160 - 2(15)
P = 160 - 30 = 130
The optimal number of units to be placed in a package will therefore be 15 units while the firm should charge $130 for this package.
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Answer:
The Journal entries are as follows:
(1)
Equipment A/c Dr. $71,890
To cash $3,790
To accounts payable $68,100
(To record the purchase of equipment)
Workings:
Equipment value:
= Purchase price + Sales tax + Freight charges for shipment of equipment + Installation of equipment
= 64,000 +4,100 + 890 + 2,900
= $71,890
Cash Paid:
= Freight charges for shipment of equipment + Installation of equipment
= 890 + 2,900
= $3,790
Accounts payable = Purchase price + Sales tax
= 64,000 +4,100
= $68,100
(2)
Prepaid Insurance A/c Dr. $1,090
To cash A/c $1,090
(To record any expenditures not capitalized in the purchase of equipment)