Answer:
(a) C(x) = 9500 + 55x
(b) R(x) = 90x
(c) P(x) = 35x - 9500
(d) C(240) = $22,700
All functions are measured in $.
Explanation:
The total revenue of an entity is a function of the number of units sold and the selling price per unit. The total cost is a function of the fixed cost and the variable cost (which is also a function of the units produced/sold). Profit is a function of sales and cost.
Given that monthly;
fixed costs = $9500
variable costs = $55 per unit
Selling price = $90 per unit
Where x is the number of units
total costs C(x) in $ = 9500 + 55x
total revenue R(x) in $ = 90x
profit P(x) in $ = 90x - (9500 + 55x)
= 35x - 9500
C(240) = 9500 + 55(240)
= $22,700
Answer: A. deferred and recognized as income over the term of the lease.
Explanation:
In a sale-leaseback transaction, that is when a property is sold by a company and leased back, the property seller is the lessee and the property purchase is the lessor. In this case, a sale-leaseback will allow a company to sell an asset so that the company can raise capital, after which the asset can then be leader back.
When a company sells property and then leases it back, any gain on the sale should usually be deferred and recognized as income over the term of the lease.
Answer:
Relevant:
$5,500
$1,650
$7,700
Explanation:
The only data irrelevant is the first production cost. <u>The $4,400 is not relevant because it is a sunk cost. It will remain constant in both choices.</u> The other costs and income are relevant because they vary on each decision. The $4,400 should not be a part of the decision making process.
Answer:
Density of propane = 17.8 g/L
Propane is more priced than gasoline
Explanation:
Given:
Temperature, T = 298 K
Pressure, P = 10 bar = 0.987 × 10 = 9.87 atm
now,
Molar mass of propane, M = 44.1 g/mol
From ideal gas law
⇒ PV = nRT
here,
n is the number of moles
R is the ideal gas constant = 0.0821 L.atm/mol.K
also,
Density, D =
or
V =
and,
nM = mass
thus,
V =
substituting in the ideal gas relation
we have
P =
or
D =
or
D = 
or
D = 17.8 g/L
Now,
1 gallon = 3.78 Liter
Therefore,
5 gallon = 5 × 3.78 Liter = 18.9 Liter
Thus,
mass of 5 gallon propane = Volume × Density
= 18.9 Liter × 17.8 g/L
= 336.42 g
or
= 0.336 kg
also it is given that Price of 5 gallon propane i.e 0.336 kg = $30
Therefore,
Price per kg = 
= $89.28
and,
Mass of 5 gallons i.e 18.9 Liter gasoline = Density × Volume
= 0.692 g/cm³ × 18.9 Liter
also,
1 L = 1000 cm³
thus,
= 0.692 g/cm³ × 18.9 × 1000 cm³
= 13078.8 g
or
= 13.078 kg
Therefore,
Price per kg of gasoline = 
= $2.29
hence, propane is more priced than gasoline