Some of our customers who use Internet Explorer were unable to to read their full project and task names on the new timesheet. What follows is a recounting of our experience and our solution. The Problem Before the timesheet redesign, we did not specify a width on the Project and Task dropdowns. The logical fix is to constrain the width of these select boxes.

In the double-shaded region, we can see all the different combinations of number of pairs of earrings and number of necklaces to sell in order to make a profit.

To test that you shaded correctly, check a point in the double-shaded area, and see if it works. It works in all the inequalities. Typically you can look at what the problem is asking to determine what the variables are.

The maximum profit or minimum cost expression is called the objective function. The inequalities of the problem are called the constraints, since we are limiting what we have, such as time or resources.

Some constraints will involve greater than inequalities, for example, if a certain number of things need to be sold. Usually there will be a sentence or phrase in the word problem for each constraint. And match units when coming up with inequality constraints; for example, one may have to do with money, and another with hours.

Again, the bounded region solutions to the system of inequalities is called the feasible region, which will be the double-shaded region. The corner points are the vertices of the feasible region, which are the intersections of the lines of the feasible region.

The solution to the linear programming will occur at one of the corner points. Lisa has an online jewelry shop where she sells earrings and necklaces. It takes 30 minutes to make a pair of earrings and 1 hour to make a necklace, and, since Lisa is a math tutor, she only has 10 hours a week to make jewelry.

In addition, she only has enough materials to make 15 total jewelry items per week. How many pairs of earrings and necklaces should Lisa make each week in order to maximize her profit, assuming she sells all her jewelry?

Define the variables, write an inequality for this situation, and graph the solutions to the inequality. Since we are maximizing profit, this will be a maximum, and it will be total dollars. Usually the objective function is a money function. Always make sure all the units match; we had to change 30 minutes into.

To figure out the constraint inequalities, match units.Writing Algebraic Expressions is presnted by Math Goodies. Learn how to translate verbal phrases into algebraic expressions.

Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class. Select your answer by clicking on its button. Feedback to your answer is. Step-by-step solutions to problems Guided textbook solutions created by Chegg experts Learn from step-by-step solutions for over 22, ISBNs in Math, Science, Engineering, Business and more 24/7 Study Help.

Answers in a pinch from experts and subject enthusiasts all semester long Subscribe now. Algebra Q&A Archive: Select Year & Month. Hardest algebra problem; Nov 26 0. Hardest algebra problem Posted by free history apps sql set variable from select homework for nursery class puzzles and riddles with answers decimal word problems grade 7 sample business plan for virtual office, ashio-midori.com: - Doha, Qatar Tel: + 41 | + 41 Two more exotic relational algebra operators we didn't cover are the semijoin and antijoin.

Semijoin is the same as natural join, except only attributes of the first relation are returned in the result. Review Counting Problems with answers 1. How many ways are there to select a group of 5 women from 16 husband/wife teams?

answer: How many ways are there to select some fruit from 5 apples and 8 oranges, taking at least one piece?

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