Answers
a) | ||||||||||
SUMMARY OUTPUT | ||||||||||
Regression Statistics | ||||||||||
Multiple R | 0.91400386 | |||||||||
R Square | 0.835403056 | |||||||||
Adjusted R Square | 0.818943362 | |||||||||
Standard Error | 16389.42803 | |||||||||
Observations | 12 | |||||||||
ANOVA | ||||||||||
df | SS | MS | F | Significance F | ||||||
Regression | 1 | 1.36E+10 | 1.36E+10 | 50.75446939 | 3.2E-05 | |||||
Residual | 10 | 2.69E+09 | 2.69E+08 | |||||||
Total | 11 | 1.63E+10 | ||||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |||
Intercept | 687301.3722 | 76026.13 | 9.04033 | 3.97492E-06 | 517904.6 | 856698.2 | 517904.6 | 856698.2 | ||
X Variable 1 | 2.215592511 | 0.310995 | 7.124217 | 3.20155E-05 | 1.522654 | 2.908531 | 1.522654 | 2.908531 | ||
The minimum price Mr. Andre can offer Bunk without reducing profit any further is equal to variable cost per unit | $ 2.22 | |||||||||
b) | ||||||||||
High-low method: | ||||||||||
Variable cost estimate = (Cost at highest activity – Cost at lowest activity)/(Highest activity – Lowest activity) | ||||||||||
Corporate Revenue | Corporate Overhead Costs | |||||||||
Most recent year | 121,750,000 | 6,087,500 | ||||||||
Previous year | 77,700,000 | 5,109,590 | ||||||||
Difference | 44,050,000 | 977,910 | ||||||||
Variable cost corporate estimate = 977,910/$44,050,000 | 2.22% | of revenue | ||||||||
Let Q be number of cases sold | ||||||||||
Profit = Revenues - Variable Product Cost - Variable Corporate costs - Fixed Production Costs | ||||||||||
Profit = $6 x Q - $2.22 x Q - ($6 Q x 2.22%) - $687301.37 | ||||||||||
Break Even Point (Q) = $687301.37/ $3.65 | $ 188,239.47 | cases | ||||||||
c) | ||||||||||
Profit = $6 x Q - $2.22 x Q - ($6 Q x 5%) - $687301.37 | ||||||||||
Break Even Point (Q) = $687301.37/ $3.48 | 120,579.19 | cases | ||||||||
d) | ||||||||||
Lost Revenue | -14,704,650 | |||||||||
Product Cost Avoided | 14,447,895 | |||||||||
Loss Before corporate overhead savings | -256,755 | |||||||||
Allocated corporate costs (2.22% x 14704650) | 326,443 | |||||||||
Increase profits before Tax | 69,688 | |||||||||
Allowance for tax (@20%) | 13,938 | |||||||||
Increased Profits | 55,751 |
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