A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.It costs the company $1.37 to make each dog and $1.67 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the objective function?
A. 2, 3, 1
B. 1.37, 1.67
C. 300, 700, 230
D. 1, 4, 1
Answer: B
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Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.x2 - y2 = 7.82x = 2y - 5
A. {(-6.31, -5.65), (2.97, -1.01)} B. {(-6.31, 5.65), (2.97, 1.01)} C. {(-2.97, -1.01), (6.31, -5.65)} D. {(-2.97, 1.01), (6.31, 5.65)}
Express the product as a sum containing only sines or cosines.cos(2?) cos(6?)
A. 
[cos(4?) + cos(8?)]
B. cos2(8?2)
C. 
[cos(8?) - sin(4?)]
D. 
[cos(8?) - cos(4?)]
The Country Workshop's total weekly profit (in dollars) realized in manufacturing and selling its rolltop desks is given by the profit function
?
?
where ?x stands for the number of finished units and ?y stands for the number of unfinished units manufactured and sold each week. Find the average weekly profit if the number of finished units manufactured and sold varies between 180 and 200 and the number of unfinished units varies between 100 and 120 per week. Please round your answer to the nearest dollar, if necessary.
?
P = $__________ per week.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $240 for materials and equipment rental plus $65 per hour for labor. Company B gave an estimate of $320 for materials and equipment rental plus $55 per hour for labor. We can represent this situation with the system of linear equationsc = 240 + 65xCompany Ac = 320 + 55xCompany Bwhere c is the total cost and x is the number of hours of labor. Graph the system. What is the x-coordinate of the intersection point of the graphs? Describe what this x-coordinate means in practical terms.
A. 7; there is a number of hours of labor, for which both companies charge $700. B. 11; for 11 hours of labor, both companies charge the same. C. 7; for 7 hours of labor, both companies charge the same. D. 8; for 8 hours of labor, both companies charge the same.