Marissa is a photographer. She sells framed photographs for $100 each and greeting cards for $5 each. The materials for each framed photograph cost $30, and the materials for each greeting card cost $2. Marissa can sell up to 8 framed photographs and 40 greeting cards each week, but this week, she only has $200 to spend on materials. Marissa hopes to earn a profit of at lest $400 this week after paying for her materials.
Let x = the number of framed photographs.
Let y = the number of greeting cards.
Two of the inequalities that model this situation are x < =8 and y < = 40
write two more ineqalities that models the situation < =8 and y <=40
I got Material cost equation : 30x + 2y = 200
Profit equation : 100x + 5y = 400
Explain your inequalities and explain why x<=8 and y<=40 are also inequalities for this system ?
Last night , I had given you a full explanation, set-up and even the solution for this problem, even though it only asked for the two inequations at the beginning of my solution.
http://www.jiskha.com/display.cgi?id=1385177236
and you responded with,
I am confused.
What part did you not understand?
The inequality x <= 8 represents the fact that Marissa can sell up to 8 framed photographs each week. It ensures that Marissa does not exceed this limit.
Similarly, the inequality y <= 40 represents the fact that Marissa can sell up to 40 greeting cards each week. It ensures that Marissa does not exceed this limit.
Both of these inequalities are necessary in this system because Marissa's selling capacity for framed photographs and greeting cards has a maximum limit. By setting these limits, we ensure that Marissa stays within her capacity.
If either of these inequalities were not included, Marissa could potentially sell more than the maximum allowed number of framed photographs or greeting cards, which would make the system unrealistic and inaccurate.