A manufacturer purchases a part for use at both of its plants-one at Roseville, California, the...

 

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A manufacturer purchases a part for use at both of its plants-one at Roseville, California, the other at Akron, Ohio. The part is available in limited quantities from two suppliers. Each supplier has 90 units available. The Roseville plant needs 20 units, and the Akron plant requires 90 units. The first supplier charges $70 per unit delivered to Roseville and $90 per unit delivered to Akron. Corresponding costs from the second supplier are $80 and $140. The manufacturer wants to order a total of 90 units from the first, less expensive supplier, with the remaining 20 units to come from the second supplier. If the company spends $10,500 to purchase the required number of units for the two plants, find the number of units that should be sent from each supplier to each plant. Write a linear system of equations. The number of units sent from the first supplier to Roseville is w, the number of units sent from the first supplier to Akron is x, the number of units sent from the second supplier to Roseville is y, and the number of units sent from the second supplier to Akron is z. Choose the correct answer below. OA. w+y+z=90 70w +90x+80y + 140z= 10,500 w+x=110 w+y=20 OC. w+x+y+z=20 90x+80y + 140z = 10,500 w+x=90 w+y=110 The first supplier should send units to Roseville and to Roseville and units to Akron. (Simplify your answers.) B. w+x+y=110 70w +90x+80y + 140z = 10,500 y+x=90 w+y=20 OD. w+x+y+z=110 70w +90x+80y + 140z = 10,500 w+x=90 w+y=20 units to Akron. The second supplier should send units A manufacturer purchases a part for use at both of its plants-one at Roseville, California, the other at Akron, Ohio. The part is available in limited quantities from two suppliers. Each supplier has 90 units available. The Roseville plant needs 20 units, and the Akron plant requires 90 units. The first supplier charges $70 per unit delivered to Roseville and $90 per unit delivered to Akron. Corresponding costs from the second supplier are $80 and $140. The manufacturer wants to order a total of 90 units from the first, less expensive supplier, with the remaining 20 units to come from the second supplier. If the company spends $10,500 to purchase the required number of units for the two plants, find the number of units that should be sent from each supplier to each plant. Write a linear system of equations. The number of units sent from the first supplier to Roseville is w, the number of units sent from the first supplier to Akron is x, the number of units sent from the second supplier to Roseville is y, and the number of units sent from the second supplier to Akron is z. Choose the correct answer below. OA. w+y+z=90 70w +90x+80y + 140z= 10,500 w+x=110 w+y=20 OC. w+x+y+z=20 90x+80y + 140z = 10,500 w+x=90 w+y=110 The first supplier should send units to Roseville and to Roseville and units to Akron. (Simplify your answers.) B. w+x+y=110 70w +90x+80y + 140z = 10,500 y+x=90 w+y=20 OD. w+x+y+z=110 70w +90x+80y + 140z = 10,500 w+x=90 w+y=20 units to Akron. The second supplier should send units