The similar sum of money is invested in a second account at 6% for 4 years. The amount of interest accrued on the second account is less than double the amount of curiosity accrued on the primary account. The quantity of curiosity accrued on the second account is double the quantity of interest accrued on the first account. Tiffany sells two sorts of homemade tomato sauce.

As, we know that if a LPP has two optimum resolution, then there are an infinite number of optimal solutions. The minimum pair ought to be pair that will give the minimum worth of c when the points are substituted in the equation. To mark the point on the Cartesian plane, start from the origin. Take 6 steps in the path of the “x” axis ranging from the origin.

Clearly, satisfies the inequation 3x+ 4y ≤ 24 . So, the area in xy-plane that accommodates the origin represents the answer set of the given equation. The major mission of sts-math.com helps college students of all ages to cope with numerous mathematical duties. You can see how other college students answered a similar question and examine them together with your solution.

Show that the values of the πj’s do indeed satisfy the move stability equations. A set of values for the choice variables that fulfill all of the constraints and yields the BEST objective perform worth is….. Therefore, the given goal function can be subjected at an infinite variety of points. Since, every level in the first quadrant satisfies these inequations. So, the first quadrant is the area represented by the inequations. The max and min of the target operate occurs at certainly one of these vertices.

How can you get hold of that by mixing a weak 20% solution with some pure acid. If you could have 10 liters of the weak answer, how much of the strong stuff do you have to add? Solve either by the algebra method or explain how you’ll find the answer within the ‘intuitive manner we talked about in class. So, the region inxy-plane that incorporates the origin represents the solution set of the given equation.

She plans to promote pumpkin bread loaves for $5 every and coffee cake loaves for $4 each. Susan desires to maximize the money raised on the bake sale. Let x characterize the variety of loaves of pumpkin bread and y characterize the variety of loaves of coffee cake Susan bakes. The area where the five solution sets overlap is the area of feasibility.

Alan desires to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan makes use of mc017-1.jpg cup of oil and a pair of eggs. For a tray of bran muffins, Alan makes use of mc017-2.jpg cup of oil and 1 egg.

He sells trays of blueberry muffins for $12 every and trays of bran muffins for $9 every. Alan wants to maximize the cash raised at the bake sale. Let x characterize the number of blueberry muffins and y characterize the variety of bran muffins Alan bakes. Susan needs to make pumpkin bread and occasional desserts for the varsity bake sale.

A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and mc019-1.jpg cups of oil. She makes $4 profit on every quart of her Tuscan sauce and $5 profit on every quart of her marinara sauce. She has forty five tomatoes and 10 cups of oil readily available pathfinder technology guide pdf download. Tiffany desires to maximise her profits from promoting the sauce. Let x symbolize the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes.

ELA What is the perform of a preposition in a sentence? 2)to specific action 3)to show the subject of the sentence is energetic with the primary verb. As we see the feasible area is a triangle with vertices at ,,and .