The correct answer is letter C
Answer:
Optimal production quantity for the Tiptop model pen is 7.5 lot
Explanation:
Say, X and Y is the is the fliptop and tiptop quantity respectively, then
Profit = 1000*(X + Y)
Objective function: Maximize 1000*(X+Y) subject to;
Eq:1 3X+4Y=< 36
Eq:2 5X+4Y=< 40
Eq:3 5X+2Y=< 30
Using Excel Solver, we get:
Optimal production quantity for the Tiptop model pen is 7.5 lot
Answer:
(b) 1440
Explanation:
As the coupon rate of 8% is greater than the yield to maturity (YTM) of 6% annually, the bond is selling at a premium. Hence, the bond will be called at the earliest i.e. 15 years.
Coupon = Call Price * Semi-annual coupon rate = X * [0.08 / 2] = X * 0.04
Yield to call = 6% annually = 3% semi-annually
Time = 15 years * 2 = 30
We know that,
Current Price of bond = Coupon * [1 - (1 + YTC)-call date] / YTC + Call Price / (1 + YTC)call date
- 1,722.25 = [X * 0.04] * [1 - (1 + 0.03)-30] / 0.03 + [X / (1 + 0.03)30]
- 1,722.25 = [X * 0.04] * 19.60 + [X * 0.41]
- 1,722.25 = X * [(0.04 * 19.60) + 0.41]
- X = 1,722.25 / 1.194
-
X=$ 1,442.42 \approx $ 1,440
<span>To find the cost of going to this college in four years, sum all the values given (9350 + 8630 + 1650 + 2140 + 1110), which gives $22,880 for attending. Subtracting 4500 for grants and 8630 for not having to live on-campus gives a value of $9750 required. Dividing this value by 48 months (the time left before he begins attending) gives an approximate value of $203.13 needed to be saved per month without any interest being added. To make sure that Caleb has enough if the $3.13 per month isn't made up by interest down the line, $300 should be saved each month.</span>