Bowers Campos

03/30/2024 · Escuela primaria

45. Manufacturing Cost Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by \[ M(x, y)=45 x^{2}+40 y^{2}-20 x y+50 \text {, } \] where \( x \) is the cost of electronic chips and \( y \) is the cost of labor. Find the following. a. \( M_{y}(4,2) \quad \) b. \( M_{x}(3,6) \quad \) c. \( (\partial M / \partial x)(2,5) \) d. \( (\partial M / \partial y)(6,7) \) 46. Revenue The revenue from the sale of \( x \) units of a sedative and \( y \) units of an antibiotic is given by \[ R(x, y)=5 x^{2}+9 y^{2}-4 x y \text {. } \] Suppose 9 units of sedative and 5 units of antibiotic are sold. a. What is the approximate effect on revenue if 10 units of sedative and 5 units of antibiotic are sold? b. What is the approximate effect on revenue if the amount of antibiotic sold is increased to 6 units, while sedative sales remain constant?