Hope it helps! ///////////
Answer: 15
Explanation:
For profit to be maximized by a monopolist, the marginal revenue and marginal cost must be gotten.
P= 105-3Q
MC= 15
Since total revenue is price × quantity, TR= P×Q = (105-3Q)Q
= 105Q-3Q^2
MR= 105-6Q
Since we've gotten marginal revenue and marginal cost, we equate both together.
MR=MC
105-6Q = 15
6Q = 105-15
6Q=90
Divide both side by 6
6Q/6 = 90/6
Q= 15
The quantity that will maximise profit is 15
The National SMART grant <span />
Answer:
$47,500
Explanation:
Since the payment is made monthly in advance for the period of 5 years, therefore the present value of annuity formula shall be used for the purpose of calculating the Present value of lease, which is given as follow:
Present value of annuity=R+R[(1-(1+i)^-n)/i]
In the given question
R=Rent per month paid in advance=$1,000
i=interest compounded monthly=10%/12=0.83%
n=number of payments involved=(12*5)-1=59
Present value of annuity=1,000+1,000[(1-(1+0.83%)^-59)/0.83%]
=$47,500
