jaden is planning to give away items with his companys logo to potential customers at an upcoming…

jaden is planning to give away items with his companys logo to potential customers at an upcoming conference. he wants to give each person a shirt or a hat, along with a pen or foam ball. he can buy a box of 50 shirts for $420 or hats for $9 each. he can buy a box of 20 foam balls for $14.50 or a box of 25 pens for $22.50. he expects to talk with 45 potential customers at the conference. which combination offers the best value? a) hats and pens b) hats and foam balls c) shirts and pens d) shirts and foam balls

jaden is planning to give away items with his companys logo to potential customers at an upcoming conference. he wants to give each person a shirt or a hat, along with a pen or foam ball. he can buy a box of 50 shirts for $420 or hats for $9 each. he can buy a box of 20 foam balls for $14.50 or a box of 25 pens for $22.50. he expects to talk with 45 potential customers at the conference. which combination offers the best value? a) hats and pens b) hats and foam balls c) shirts and pens d) shirts and foam balls

Answer

Explanation:

Step1: Calculate cost per - shirt

Cost of a box of 50 shirts is $420. Cost per shirt $=\frac{420}{50}=8.4$ dollars.

Step2: Calculate cost per - hat

Cost per hat is $9$ dollars. Since $8.4<9$, shirts are cheaper than hats.

Step3: Calculate cost per - pen

Cost of a box of 25 pens is $22.50$. Cost per pen $=\frac{22.50}{25}=0.9$ dollars.

Step4: Calculate cost per - foam ball

Cost of a box of 20 foam balls is $14.50$. Cost per foam ball $=\frac{14.50}{20}=0.725$ dollars. Since $0.725 < 0.9$, foam balls are cheaper than pens.

Step5: Calculate total cost for each option

  • Option A: Cost of hats and pens. Cost for 45 hats is $45\times9 = 405$ dollars, cost for 45 pens is $45\times0.9=40.5$ dollars. Total cost is $405 + 40.5=445.5$ dollars.
  • Option B: Cost of hats and foam balls. Cost for 45 hats is $45\times9 = 405$ dollars, cost for 45 foam balls is $45\times0.725 = 32.625$ dollars. Total cost is $405+32.625 = 437.625$ dollars.
  • Option C: Cost of shirts and pens. Cost for 45 shirts is $45\times8.4 = 378$ dollars, cost for 45 pens is $45\times0.9 = 40.5$ dollars. Total cost is $378+40.5=418.5$ dollars.
  • Option D: Cost of shirts and foam balls. Cost for 45 shirts is $45\times8.4=378$ dollars, cost for 45 foam balls is $45\times0.725 = 32.625$ dollars. Total cost is $378+32.625=410.625$ dollars.

Answer:

D. shirts and foam balls