Answer:
With 16 Grade X and 54 Grade Y the company maximize their profit at 11,840 dollars
Explanation:
We set up the scenario in Excel and use SOLVER tool:
X = 50 synthetic + 25 labor + 20 foam
Y = 40 synthetic + 28 labor + 15 foam
Profit:
X = 200
Y = 160
Constraing:
synthetics <= 3,000
foam <= 1,500
Grade X and Grade Y are integer.
goal: maximize profit
16 of Grade X
and 54 of grade Y
16 x 50 = 800
16 x 30 = 540
54 x 40 = 2,160
54 x 15 = 810
Profit:
16 x 200 + 54 x 160 = 11840
Answer:
1)
![\left[\begin{array}{cccccc}$department&$salaries&OASDI&HI&SUTA&FUTA\\$office&22,760&1,411.12&341.4&280&42\\$sales&65,840&4,082.08&987.6&280&42\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%24department%26%24salaries%26OASDI%26HI%26SUTA%26FUTA%5C%5C%24office%2622%2C760%261%2C411.12%26341.4%26280%2642%5C%5C%24sales%2665%2C840%264%2C082.08%26987.6%26280%2642%5C%5C%5Cend%7Barray%7D%5Cright%5D)
2) payroll expense entries:
payroll expense 2063.14
Medicare payable 330.02
Social Security payable 1411.12
SUTA 280
FUTA 42
--------------------------------------------
payroll expense 5358.76
Medicare payable 954.68
Social Security payable 4082.08
SUTA 280
FUTA 42
Explanation:
![\left[\begin{array}{cccccc}$department&$salaries&OASDI&HI&SUTA&FUTA\\$office&22,760&1,411.12&341.4&280&42\\$sales&65,840&4,082.08&987.6&280&42\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%24department%26%24salaries%26OASDI%26HI%26SUTA%26FUTA%5C%5C%24office%2622%2C760%261%2C411.12%26341.4%26280%2642%5C%5C%24sales%2665%2C840%264%2C082.08%26987.6%26280%2642%5C%5C%5Cend%7Barray%7D%5Cright%5D)
We apply for each department the tax rate. Notice SUTA and FUTA have a ceilling of 7,000 so we do not apply the rate to the whole amoung but, for the 7,000 ceiling.
Answer:
The yield to maturity is 6.45%.
Explanation:
Yield to Maturity (YTM) is the long term yield on the bond based on the assumption that the bond is held till maturity. The Yield to Maturity is calculated using the formula as shown in the attachment,
The coupon payment on bonds is = 1000 * 0.07 = 70
YTM = ( 70 + (1000 - 1038.5)/9 ) / ((1000 + 1038.5) / 2)
YTM = 0.06448 or 6.448% rounded off to 6.45%