A shingle company manufactures premium grade shingles and high grade shingles using two common ingredients: asphalt and gravel. A batch of premium grade shingles requires 19 pounds of asphalt and 9 pounds of gravel and sells for $40 per batch. A batch of?
A shingle company manufactures premium grade shingles and high grade shingles using two common ingredients: asphalt and gravel. A batch of premium grade shingles requires 19 pounds of asphalt and 9 pounds of gravel and sells for $40 per batch. A batch of high grade shingles requires 8 pounds of asphalt and 15 pounds of gravel and sells for $39 per batch. The shingle company has 287 pounds of asphalt and 335 pounds of gravel on hand on a certain day. How many batches of each product should the shingle company make that day to maximize its profit?
If x is the number of batches of premium grade shingles and y
is the number of batches of high grade shingles made that day, answer the following questions connected with the problem:
a) The linear inequality that
x and y must satisfy so as not to exceed the number of pounds of asphalt available is:
b) The linear inequality that
x and y must satisfy to meet the order for ounces of emeralds is:
A shingle company manufactures premium grade shingles and high grade shingles using two common ingredients: asphalt and gravel. A batch of premium grade shingles requires 19 pounds of asphalt and 9 pounds of gravel and sells for $40 per batch. A batch of high grade shingles requires 8 pounds of asphalt and 15 pounds of gravel and sells for $39 per batch. The shingle company has 287 pounds of asphalt and 335 pounds of gravel on hand on a certain day. How many batches of each product should the shingle company make that day to maximize its profit?
If x is the number of batches of premium grade shingles and y
is the number of batches of high grade shingles made that day, answer the following questions connected with the problem:
a) The linear inequality that
x and y must satisfy so as not to exceed the number of pounds of asphalt available is:
b) The linear inequality that
x and y must satisfy to meet the order for ounces of emeralds is:
1 Answer
See below.
Explanation:
Calling
So we have:
Objective function
Restrictions
So the problem is