Answer:
Mark will have at the end of six years the amount of $25,865.74
Explanation:
According to the given data we have the following:
First investment = 2500
Investment increasing at rate of 10%
Interest rate = 13%
t=6 years
Present value is given by formula = C * [((1+g)^n/(1+i)^n) - 1 ] / (g-i)
C is first value = 2,500
g is increase in investment = 0.10
i is intrest rate = 0.13
n is no of years = 6
Putting values into the equation
P = 2500* [((1+ 0.10)^6/(1+0.13)^6) - 1 ] / (0.10-0.13) 1.771561 2.08195
P = 2500* [((1.10)^6/(1.13)^6) - 1 ] / (-0.03)
P = 2500* [0.8509142870866 - 1 ] / (-0.03)
P = 2500* (-0.14908571)/ (-0.03)
P = 2500* 4.9695236
P=$12,423.809
Future value = P*(1+i)^t
= $12,423.809 *(1+0.13)^6
= $25,865.74
Mark will have at the end of six years the amount of $25,865.74
Answer:
Explanation:
Given the following data about Dayna's Doorstep Inc(DD) :
Cost given by; C = 100 - 5Q + Q^2
Demand ; P = 55 - 2Q
A.) Set price to maximize output;
Marginal revenue (MR) = marginal cost (MC)
MR = taking first derivative of total revenue with respect to Q; (55 - 2Q^2)
MC = taking first derivative of total cost with respect to Q; (-5Q + Q^2)
MR = 55 - 4Q ; MC = 2Q - 5
55 - 4Q = 2Q - 5
60 = 6Q ; Q = 10
From
P = 55 - 2Q ;
P = 55 - 2(10) = $35
Output
35(10) - [100-5(10)+10^2]
350 - 150 = $200
Consumer surplus:
0.5Q(55-35)
0.5(10)(20) = $100
B.) Here,
Marginal cost = Price
2Q - 5 = 55 - 2Q
4Q = 60 ; Q = 15
P= 55 - 2(15) = $25
Totally revenue - total cost:
(25)(15) - [100-(5)(15)+15^2] = $125
Consumer surplus(CS) :
0.5Q(55-25) = 0.5(15)(30) = $225
C.) Dead Weight loss between Q=10 and Q=15, which is the area below the demand curve and above the marginal cost curve
=0.5×(35-15) ×(15-10)
=0.5×20×5 = $50
D.) If P=$27
27 = 55 - 2Q
2Q = 55 - 27
Q = 14
CS = 0.5×14×(55 - 27) = $196
DWL = 0.5(1)(4) = $2
Answer:
1. High-risk products.
2. Technology-push products.
3. Quick-build products.
4. Process-intensive products.
5. Platform products.
Explanation:
A. High-risk product: Entail unusually large uncertainties about the technology or market. The development process takes steps to address those uncertainties.
B. Technology-push product: A firm with a new proprietary technology seeks out a market where that technology can be applied.
C. Quick-build products: Uses a repeated prototyping cycle. Results from one cycle are used to modify priorities in the ensuing cycle.
D. Process-intensive product: The production process has an impact on the product properties. Therefore, product design and process design cannot be separated.
E. Platform products: Products are designed and built around a pre-existing technological subsystem.
Answer:
Financial advantage of accepting supplier's offer = $21,000
Explanation:
Relevant costs saved by outsourcing production:
Direct materials $3.70
Direct labor $12.00
Variable manufacturing overhead $2.30
Fixed manufacturing overhead $9.00 * 1/3 = $3
Total cost per part $21.00
Total savings per year = $21 * 29,000 = $609,000
Additional rental income = $79,000
Total = $688,000
Cost of purchasing 29,000 parts = $23 * 29,000 = $667,000
Financial advantage of accepting supplier's offer = $21,000
<span>The extra $2 that she made beyond the $5 she was willing to sell her T-shirts for represents producer surplus. Producer surplus is defined as the difference between the amount of money the producer is willing to supply versus the amount actually supplied. Because she was willing to sell for $5 but sold for $7 and had an increase in money supplied, this example is one of producer surplus. </span>