Answer:
5q^7
Step-by-step explanation:
When multiplying exponents(if positive), you must add them together. So, (5q^4)³ will be 5q^7 because the exponents were positive and they were multiplying so you add them together and leave the variable and number 5 alone.
Hope this helps! :)
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit)
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q
Marginal rev=205
Marginal Profit = 205-41.958=163.042
Set up a proportion
2/3= 120/x
2*60=120
3*60=180
x=180
Final answer: $180
(a) Profit equation
Profit = revenue - cost
unit profit = revenue per unit - cost per unit = 16-7.3=8.7
profit
p(x) = (unit profit)*x=8.7x
(b) profit over time
sales,
x(t) = 1000 * (100 * (ln(t^2+87)+48.8)
=100000 ln(t^2+0.87)+48800
profit,
P(t)
=p(x(t))-5200000
=p(100000 ln(t^2+0.87)+48800)-5200000
=8.7(100000 ln(t^2+0.87)+48800)-5200000
=870000*ln((t^2+0.87))-4775440
(c)
Break even quantity is when p(x)-5200000=0,
solving,
8.7x-5200000=0 =>
x=5200000/8.7
=597701.1
=597702 (rounded to next integer)
(d)
Time t to reach break even is when
P(t)=0
or
solve for t in
870000*ln((t^2+0.87))-4775440=0
ln(t^2+0.87)=4775440/870000=5.489
raise powers to base of e
t^2+0.87=e^(5.489)=242.018
t=sqrt(242.018-0.87)=15.53 months.
Answer:
The last rem of the polynomial is -500
Step-by-step explanation:
We have given that the profit a business earn by selling items is given by polynomial 
We have to find the last term of the polynomial when it is written in standard form
For writing in standard form first we have to do operation on the polynomial
So 
So the last rem of the polynomial is -500
