Assume that each gallon of Deluxe Vanilla uses 2 quarts of milk, 2 quarts of cream, and 3 ounces of vanilla; each gallon of Regular Vanilla uses 3 quarts of milk, 1 quart(s) of cream, and 1 ounces of vanilla; and each gallon of Deluxe Chocolate uses 2.75 quarts of milk, 1.25 quarts of cream, and 5 ounces of cacao. Assume also that the shop has on hand 115 gallons of milk, 77 gallons of cream, 19 pounds of vanilla, and 25 pounds of cacao. How many gallons of each type of ice cream should the shop make to use up all of these ingredients?
When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.?
Number of variables:
Number of equations:
Let x = Amount of deluxe vanilla to be produced
y = Amount of regular vanilla to be produced
z = Amount of deluxe chocolate to be produced
Since 1 gallon = 4 quarts
So, 115 gallons = 4x115 = 460 quarts
And, 77 gallons = 4x77 = 308 quarts
Since, 1 pound = 16 ounces
So, 19 pounds = 19x16 = 304 ounces
And, 25 pounds = 25x16 = 400 ounces
Now, according to the question the system of linear equations are written as,
Solve the above system of the linear equation,
From equation (III) and (V) find the value of...
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*See Solution
Q: Good afternoon. I have a midterm coming up, and my professor has given us a few definitions I have n...
A: According to the given information it is needed to prove that f(x) is continuous at x=a where f(x) =...
Q: Write the augmented matrix associated with the system of linear equations. 3 бу + 5z X Зх +3z 1 х+ З...
A: Consider the given system of linear equations are,
Q: 16* Find an explicit epimorphism from S5 onto a group of order 2
A: To construct an explicit homomorphism from S5 (the symmetric group on 5 symbols) which is onto the m...
Q: f(x)=3x3 + 23x2 - 22x - 112 Factor f(x) given that -2 is a zero
A: Given that –2 is a zero, thus (x–(–2)) is a factor of the given function.
Q: Section 3.4 Question 7
A: From the given statement, the vector form is S = (a + b, a – b + 2c, b, c)T.
Q: Let G be a group and let H be a subgroup of G with |G : H| = 2. Prove that H a G, that is, H is a no...
A: Click to see the answer
Q: Question 3 part D
A: To apply Newton's method for finding approximate root for f(x)=0 with initial approximation x0=4
Q: For the given function, find all values of ?c over the interval (1/2,20) stipulated by Rolle's Theor...
A: To solve for the values c for the given function and the interval , as per Rolle's theorem
Q: Determine the effective rate for $1 invested for 1 year at 8.9% compounded semiannually. %. The effe...
A: Click to see the answer