Answer:
The budgeted cash disbursement for August is $696,000
Step-by-step explanation:
July direct material purchase is
30% of 300000 =$90000
August direct material purchase
70% of 480000 = $336000
Wage expense =$ 150000
Purchase of office equipment= $72000
Selling and administrative expense= $ 48000
Depreciation=0
Adding everything gives $696000, which is the budgeted cash disbursement for August.
To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation:
Answer:
Step-by-step explanation:
Given
Required
The dimension that minimizes the cost
The volume is:
This gives:
Substitute
Make H the subject
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
The cost is:
Substitute: and
To minimize the cost, we differentiate
Then set to 0
Rewrite as:
Divide both sides by W
Rewrite as:
Solve for
Take cube roots
Recall that:
Hence, the dimension that minimizes the cost is:
6n=0.12
n=0.12:6
n=0.02
Answer: n=0.02